Question

. Which equation represents the line that passes through the points (3.7) and (-1.-1)

Answer 1

Answer:

$y=2x+1$  or $y+1=2(x+1)$

Step-by-step explanation:

step 1

Find the slope of the line

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

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

we have

$A(3,7)\ B(-1,-1)$

Substitute the values

$m=\frac{-1-7}{-1-3}$

$m=\frac{-8}{-4}=2$

step 2

Find the equation of the line into slope point form

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

we have

$m=2$

$pointB(-1,-1)$

substitute

$y+1=2(x+1)$ -----> equation of the line into point slope form

$y=2x+2-1$

$y=2x+1$ -----> equation of the line into slope intercept form