Question

Type an equation for the line

Answer 1

Answer:

$y=-\frac{2}{3}x+1$

Step-by-step explanation:

Let the equation of the line given in the graph is,

y = mx + b

Where 'm' is the slope of the line

And 'b' represents the y-intercept

Since slope of a line passing through two points $(x_1, y_1)$ and $(x_2,y_2)$ is modeled by,

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

If this line passes through (-3, 3) and (3, -1),

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

m = $-\frac{4}{6}$

   = $-\frac{2}{3}$

And 'b' = 1

Equation of this line will be,

$y=-\frac{2}{3}x+1$