Question

write an equation in point-slope from for the line that has a slope of 6and contains the point (-8, -7)

Answer 1

So,

We need the equation y = mx + b. We need to know the slope and the y-intercept.

The question already gives us the slope: 6.

y = 6x + b

If we substitute the given solution for x and y, we will be able to solve for b.
-7 = 6(-8) + b

Distribute
-7 = -48 + b

Add 48 to both sides
41 = b

y = 6x + 41

Answer 2

I'm guessing that point-slope form is somewhat like slope intercept form=y=mx+b is what I learned
m=slope
b=y-intercept

so slope is 6 so subsitute
y=6x+b
now solve for b by subsituting
(x,y) so
(-8,-7)
x=8
y=-7
subistute
-7=6 times -8+b
-7=-48+b
add 48 to both sides
41=b

y=6x+41