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Find a​ point-slope form for the line with slope
1
5 and passing through the point ​(−8​,−5)

Sagot :

ANCKPOP

Answer:

Step-by-step explanation:

View image ANCKPOP
rvkacademic

Answer:

Not clear on what the slope is, there is a gap between 1 and 5 so not sure if m=15 or m =1.5  or m  = 1/5 (0.2) Choose the answer that corresponds to the actual value of m in the original question

If m = 15 equation is y = 15x + 115

m = 1.5 equation is y = 1.5x + 7

Step-by-step explanation:

The point-slope form of the equation of a straight line is:

y − y1 = m(x − x1)

where

m is the slope of the line and (x1,y1) is a point on the line

Here we have (x1,y1) = (-8, -5) ie x1=-8, y1=-5 and m = 15 ( not clear whether 1.5 or 15 because there is a  break between 1 and 5. Will provide explanation for both cases. Just select the right one depending on the correct value of m)

So the equation in point-slope form is

Case (a); m = 15

y - (-5) = 15(x- (-8)

y + 5 = 15(x + 8)

y + 5 =15x + 15.8

y + 5 = 15x + 120 . This is an acceptable answer

But we can simplify by subtracting 15 from both sides giving

y = 15x + 120-15

y = 15x + 115

Case (b); m = 1.5

If m = 1.5

y + 5 = 1.5(x + 8)

y + 5 = 1.5x + 12

y = 1.5x + 7

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