Question

Write an equation in slope intercept for a line that has a slope of 5 and goes through (-1, 7).

Answer 1

The general point-slope equation of a line is:

$y=m\cdot(x-h)+k._{}$

Where:

• m is the slope of the line, ,m = 5,,

,

• (h, k) are the coordinates of one point of the line, ,(h, k) = (-1, 7),.

Replacing the data of the problem in the equation above, we get:

$y=5\cdot(x+1)+7.$

Now, the slope-intercept equation of a line has the form:

$y=m\cdot x+b\text{.}$

Applying the distributive property in the equation that we found before, we get:

$\begin{gathered} y=5x+5+7, \\ y=5x+12. \end{gathered}$

Answer

The slope-intercept equation of the line is:

$y=5x+12$