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)   (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]

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