Question

Write an equation that represents the line

Answer 1

y = -2x - 3

Explanation:

First, find slope (m) of the line using two points (0, -3) and (1, -5):

`slope (m) = (y_2 - y_1)/(x_2 - x_1) = (-5 -(-3))/(1 - 0) = (-2)/(1) = -2`

The line intercepts the y-axis at y = -3. Therefore the y-intercept (b) of the line = -3.

To write the equation that represents the line, substitute m = -2, and b = -3 into y = mx + b.

Thus:

y = -2x + (-3)

y = -2x - 3