Question

Use the given information to write the equation of the line in slope-intercept form: y = mx + b

Answer 1

Answer:

$y =2x + 3$

Step-by-step explanation:

Given

(-2,-1) and (3,9).

Required

Determine the line equation

First, we calculate slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (-2,-1)$

$(x_2,y_2) = (3,9)$

So, we have:

$m = \frac{9 - (-1)}{3- (-2)}$

$m = \frac{9+1}{3+2}$

$m = \frac{10}{5}$

$m = 2$

The equation is then calculated using:

$y - y_1 = m(x - x_1)$

$y - (-1) =2(x - (-2))$

$y - (-1) =2(x +2)$

$y +1 =2(x +2)$

Open bracket

$y +1 =2x + 4$

Subtract 1 from both sides

$y +1-1 =2x + 4-1$

$y =2x + 3$