Question

Write an equation in standard form of the line that passes through (-3, 2) and has the slope m=1. An equation in standard form is ___=5

Answer 1

x - y = -5

Explanation:

m = 1

find b (the y-intercept) using the point-slope form (y - y1) = m(x - x1) and the given point (-3, 2):

y - 2 = 1(x - -3)

y - 2 = x + 3

Now rearrange into slope intercept form y = mx + b:

y = x + 5

Finally, write in standard form Ax + By = C:

y - x = 5

-x + y = 5 multiply by -1 across the equation to get to standard form

x - y = -5