Question

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

Answer 1

The linear equation can be written as y = (2/5)*x - 6

How to write the linear equation?

A linear equation in the slope-intercept form is written as:

y = a*x + b

Where a is the slope and b is the intercept.

Here we know that the slope is 2/5, then:

a = 2/5

And the y-intercept is -6, then:

b = -6

Replacing these values we get the line:

y = (2/5)*x - 6

Answer 2

`y = (2)/(3)x - 6`

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 = (2)/(3)x + (-6)`

`y = (2)/(3)x - 6`

The equation for the line is .
`y = (2)/(3)x - 6`