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)#