Question

Write an equation in point-slope form of the line that passes through the given point and with the given slope (-7,2); m =7

Answer 1

Y = 7x + 51

Explanation:

Point-slope form is in this form: y = mx + b where b is the y-intercept and m is the slope. We have the slope, and we already have a point that must be on the line. The only thing we need is the y-intercept, so we can plug in the given point and the slope to solve for b.

Plug in (-7, 2) for x and y and the slope(7) for m. This gives:
`2 = 7*-7 + b`, or
`2 = -49 + b`. Now add 49 to both sides to isolate x, and we get that
`b = 51`. We have everything we need for the equation now, so plug in the slope and y-intercept for m and b, giving us y = 7x + 51.\

Hope this helps!