equations of lines

Question

In Algebra 1 I am given the following problem:

 

Write the equation of the line with the slope of -2/3 that passes through the point (-1, 7). 

 

Please help me.

 

Answer 1

What you need to use here is the point-slope formula:

y - y₁ = m(x - x₁)

We are given the point (-1, 7), so we put the coordinates in:

y - 7 = m(x - (-1))

We are given the slope of -²/₃, so that's our m:

y - 7 = -²/₃(x + 1)

 

Your teacher probably wants this converted to slope-intercept form, so let's do so:

y - 7 = -²/₃ x - ²/₃

y = -²/₃ x + 6 ¹/₃

 

You can put the coordinate values in to see that both sides equal one another.