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
