Question

How do I find the equation of the line?

Answer 1

Answer:

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

Step-by-step 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:

$7=-\frac{2}{3}(-6)+b\\7=4+b\\b=3$

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

$y=mx+b\\\\y=-\frac{2}{3}x+3$

Answer 2

Answer:

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.

Step-by-step explanation: