Question

What is the equation of this line

Answer 1

Answer:

$y = -\frac{4}{3}x + 4$

Step-by-step explanation:

Use the slope-intercept form to write the equation if the line of the graph given.

$y = mx + b$, where,

b = y-intercept, which is where the line cuts across the y-axis = 4.

m = slope = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{3 - 0} = \frac{-4}{3}$

Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:

$y = mx + b$

$y = -\frac{4}{3}x + 4$