what information does the slope-intercept form of a linear equation reveal about a line?
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Slope intercept form is y=mx+b, where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane. Slope intercept form is y = m x + b y=mx+b y=mx+by, equals, m, x, plus, b, where m is slope and b is the y-intercept.
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['Horizontal and Vertical Lines and Their Slopes.', "Recall the slope of a line is a numerical measure of the steepness of the line. We can find a line's slope using the slope formula or the slope-intercept form. • ... ", ', = 1,3 and.', ', = 4,3, we get.', '= − − ... ', '3 − 3. 4 − 1.', '= = 0. ... ', 'The slope of any horizontal line is zero, 0.']
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The least squares regression line is of the same form as any line...has slope and intercept. To indicate that this is a calculated line we will change from "y=" to "y hat =". ... In real life the slope is the rate of change, that amount of change in y when x increases by 1. The intercept is the value of y when x = 0.
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General form of a line The general form ax+by+c=0 is one of the many different forms you can write linear functions in. Other ones include the slope intercept form y=mx+b or slope-point form.
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Linear equations graph as a straight line using the slope intercept form of y = mx + b, where "m" is the slope and "b" is the y-intercept, or point where the line crosses the y-axis. ... Convert a fractional y-intercept to decimal form to make it easier to graph.
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The coordinates of every point on the line will solve the equation if you substitute them in the equation for x and y. The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.
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Equation of a Line (slope and intercept form) Definition: A straight line on the coordinate plane can be described by the equation. y = mx+b. where m is the slope of the line and b is the intercept.
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['Zeros of linear functions: The blue line, y=12x+2 y = 1 2 x + 2 , has a zero at (−4,0) ; the red line, y=−x+5 y = − x + 5 , has a zero at (5,0) . ... ', 'Slope-intercept graph: Graph of the line y=−32x−2 y = − 3 2 x − 2 .']
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An equation in slope-intercept form of a line includes the slope and the initial value of the function. The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y-value of the point where the line crosses the y-axis.
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A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable. The slope of the line is b, and a is the intercept (the value of y when x = 0).
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Other traits of Vertical lines The equation of a vertical line does not have a y-intercept since a vertical line never crosses the y-axis. (link). The slope of a vertical line is undefined because the denominator of the slope (the change in X) is zero. Vertical lines help determine if a relation is a function in math.
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Slope intercept form is y = mx + b. The problem is that a vertical line has an undefined slope, and unless the vertical line is the y-axis it will not have a y-intercept, b. As a result all vertical lines are written in the format of x = c.
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Slope Intercept Form Formula: The slope intercept form of a line in the two-dimensional Cartesian coordinate plane is determined by the formula y=mx+b, y = m x + b , where m is the slope and b is the y -intercept.
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The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.
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The first of the forms for a linear equation is slope-intercept form. Equations in slope-intercept form look like this: y = mx + b. where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis.
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The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.
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Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).