Question

How do I find the equation of the line?

Answer 1

y=-\frac{2}{3}x+3

Explanation:

`y=mx+b`

There are 4 variables in this equation, and 3 of them are already given. We already have the slope and the (x, y) of a known point. Plug those 3 into the equation and solve for b:

`7=-(2)/(3)(-6)+b\\7=4+b\\b=3`

Now, with the slope and the y-intercept, you can write the equation of the line:

`y=mx+b\\\\y=-(2)/(3)x+3`

Answer 2

1.Identify the slope.

2.Identify the point.

4.Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

5.Write the equation in slope-intercept form.

Explanation: