Question

What is an equation of the line that passes through the points (-2, -5) and (-1, 1)?

Answer 1

Answer: y=6x+7

Step-by-step explanation:

To find the equation of the line, we want to find the slope with the formula $m=\frac{y_2-y_1}{x_2-x_1}$.

$m=\frac{1-(-5)}{-1-(-2)} =\frac{6}{1}=6$

Now that we know th eslope, we can start to fill out the equation. To find the y-intercept, we can plug in a given point and solve.

y=6x+b

1=6(-1)+b             [multiply]

1=-6+b                 [add both sides by 6]

b=7

Now, we know the equation is y=6x+7.

Answer 2

Answer:

Step-by-step explanation:

(1+5)/(-1+2) = 6/1 = 6

y + 5 = 6(x + 2)

y + 5 = 6x + 12

y = 6x + 7