How do you write the equation in slope intercept form given (1,-3) with x-intercept = -1?

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How do you write the equation in slope intercept form given (1,-3) with x-intercept = -1?

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Answer 1 · 2016-08-09T05:27:08

$y = mx + b$ where $y = -3/2x -1 1/2$

Explanation:

Explanation

Explanation:

In $y = mx + b$ The slope intercept form
m = the slope think m = mountain slope
b = the y-intercept think b = beginning starting point.
m ; the slope = the change in y divided by the change in x

$(y_2 - y_1)/(x_2 - x_1)$ = m

Substitute -3 for $y_2$ and 0 for $y_1$ ( y is zero at the x intercept)
Substitute 1 for $x_2$ and -1 for $x_1$ ( -1 is the x intercept)

$( -3 - 0) / { 1 - ( -1 )$ = m

m = $-3/( +2)$

Now, to find the y-intercept remember $x=0$ at the y-intercept.
So one point is ( 0, b) and a second point is ( 1,-3)

$(b - ( -3))/( 0 - 1 ) = -3/2$

$(b+3)/(-1) = (-3)/2$

multiplying both sides by -1 gives

$b + 3 = 3/2$
subtracting -3 from both sides gives

$b = 3/2 - 3$

$b = - 3/2$

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How do you write the equation in slope intercept form given (1,-3) with x-intercept = -1?

1 Answer

Explanation:

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