Question

[4_07]Choose the equation of the line passing through the point (6, -2) and parallel to
y = x + 7.

y = x + 8

y = x - 4

y = x + 4

y = x - 8

Answer 1

Since it has the same slope, get rid of the y-intercept and solve agin.
y = x + 7
-2 = 6 + b
b = -8
y = x - 8

Answer 2

or you can use point slope form.

y-y1=m(x-x1)

where (x1,y1) is a point in the line and m=slope

We know the slope is 1 right since it's the same as y=x+7

Ok now we have :
y-y1=x-x1

y+2=x-6

Solve for y