Question

Write the slope-intercept form of the given line. Include your work in your final answer.

Answer 1

Answer:

$y=-\frac{1}{3}x+1$

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Where 'm' = slope of the line

b = y-intercept

From the picture attached,

b = 1

Slope of the line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is represented by,

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

Slope of the line passing through the points (0, 1) and (3, 0) will be,

m = $\frac{0-1}{3-0}$ = $-\frac{1}{3}$

Equation of the line will be,

$y=-\frac{1}{3}x+1$