Question

Write an equation in slope-intercept form for the line with slope 2/5 and y-intercept -6 .

Answer 1

Answer:

$y = \frac{2}{3}x - 6$

Step-by-step explanation:

Recall that the the equation of a line in slope-intercept form is given as $y = mx + b$.

m = the slope of the line

b = the y-intercept. This is the point at which the line intercepts the y-axis.

We are given:

slope (m) = ⅖

y-intercept (b) = -6

All you need to do to get an equation of the line is to simply substitute m = ⅔ and b = -6 into $y = mx + b$.

$y = \frac{2}{3}x + (-6)$

$y = \frac{2}{3}x - 6$

The equation for the line is .$y = \frac{2}{3}x - 6$