Question

What is an equation of the line that passes through the points (-2, -3)and (-1, 2)? Put your answer in fully reduced form.

Answer 1

y = 5x + 7

Explanation:

In order to create the equation in slope-intercept form (y = mx + b) we'll need to find the slope and the y-intercept.

To find the slope, we can use this expression:
`(y2 - y1)/(x2 - x1)`

First, input the points:
`(2 - (-3))/(-1 - (-2))`

Solve:
`(5)/(1)`

Simplify:
`(5)/(1)` = 5

Now we can input the value of the slope into the equation.

y = 5x + b

To find the y-intercept (b), we'll input one of the given points and solve for b.

Input the values of x and y from the given point (-1,3): 2 = 5(-1) + b

Simplify the right side of the equation: 2 = -5 + b

Add 5 to both sides to isolate the b: 7 = b

Now that we know both the slope and the y-intercept, we can put them into the equation and find our answer.

5 = slope 7 = y-intercept

y = 5x + 7