How do you write the equation in slope intercept form given point (4, –3) and has slope m = 1?

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Answer 1 · 2017-02-25T23:10:32

$y = color(red)(1)x - color(blue)(7)$ or $y = x - color(blue)(7)$

First, we can write the equation in point-slope form. The point-slope formula states: $(y - color(red)(y_1)) = color(blue)(m)(x - color(red)(x_1))$

Where $color(blue)(m)$ is the slope and $color(red)(((x_1, y_1)))$ is a point the line passes through.

Substituting the values from the problem gives.

$(y - color(red)(-3)) = color(blue)(1)(x - color(red)(4))$

$y + color(red)(3) = x - color(red)(4)$

The slope-intercept form of a linear equation is: $y = color(red)(m)x + color(blue)(b)$

Where $color(red)(m)$ is the slope and $color(blue)(b)$ is the y-intercept value.

We can now solve the equation from above for $y$ :

$y + color(red)(3) - 3 = x - color(red)(4) - 3$

$y + 0 = x - 7$

$y = color(red)(1)x - color(blue)(7)$