SOLUTION: please please help (-1,-5),-8 find the equation of the line that goes through the given point and has the given slope. write the answer in slope intercept form.

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Question 53500: please please help
(-1,-5),-8 find the equation of the line that goes through the given point and has the given slope. write the answer in slope intercept form.

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
(-1,-5),-8
y1-y2=m(x1-x2)[Use the point-intercept form of a line because you are given a point (-1, -5) and the slope (-8) which can be plugged into the form]
.
y-(-5)=(-8)(x-(-1) [Plug-in the values]
y+5=(-8)(x+1) [Simplify]
y+5=-8x-8 [Solve for y]
y+5-5=-8x-8-5
y=-8x-13 [Slope-intercept form of a line]
.
Check by plugging in the values of x=-1 or y=-5:
y=-8x-13
-5=-8x-13 [Plug-in (-5) and solve for x]
-5+13=-8x-13+13
8=-8x
8/-8=-8x/8
-1=x [Checks out]