Question

Write the equation of a line that

Answer 1

Answer:

$y = \frac{-8}{3}x - 8$

Step-by-step explanation:

Solving for the equation of the line with two points:

Let's remind ourself of the slope - intercept formula:    $y = mx + b$

We first have to find the slope of the line. This is found by using the formula :

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

We have to find the change in y (Δy) and divide it by the change in x (Δx)

We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept

Step 1: Slope

Let's use the slope formula

$\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}$

Slope = -8/3

Step 2: Y - Intercept

To find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)

$y = \frac{-8}{3}x + b$

$0 = \frac{-8}{3}(-3) + b$

$0 = \frac{24}{3} + b$

$0 = 8 + b$

$b = -8$

Step 3: Equation

Let's input our slope and y - intercept to the equation     $y = mx + b$

Slope = -8/3

Y - Intercept = -8

Equation:    $y = \frac{-8}{3}x - 8$

-Chetan K