Question

Nter the equation of the line in slope-intercept form.

Slope is 6, and (1, 3)

Answer 1

The equation in the slope-intercept form will be:

`y=6x-3`

Explanation:

Given

• slope = m = 6

• point = (1, 3)

As we know that the equation of a line in point-slope form is

`y-y_1=m\left(x-x_1\right)`

substituting the values m = 6 and point = (1, 3)

`y-3=6\left(x-1\right)`

Writing the equation in slope-intercept form

`y=mx+b`

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

`y-3=6\left(x-1\right)`

add 3 to both sides

`y-3+3=6\left(x-1\right)+3`

`y=6x-3`

Therefore, the equation in the slope-intercept form will be:

`y=6x-3`