Question

Which of the following are equations for the line shown below? Check all that
apply
D: y-2=2.5(x-5)

Answer 1

Answer:

Option A $y+5=2.5(x+2)$

Option B. $y-5=2.5(x-2)$

Step-by-step explanation:

step 1

Find the slope of the given line shown in the figure

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

(-2,-5) and (2,5)

substitute

$m=\frac{5+5}{2+2}$

$m=\frac{10}{4}=2.5$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

Part a) we have

$m=2.5$

$point\ (-2,-5)$

substitute

$y+5=2.5(x+2)$

Part b) we have

$m=2.5$

$point\ (2,5)$

substitute

$y-5=2.5(x-2)$