Question

How would you solve this(what is the equation of the line that passes through the point (3,4) and has a slope of -2/3?)//delta math//

Answer 1

`y = -(2)/(3)x + 6`

Explanation:

y = mx + b is the formula for slope intercept. What we can do is plug in the slope and coordinate points to find the y-intercept.

4 =
`-(2)/(3)`(3) + b

-2/3 times 3 is -2 so you can fill that in place.

4 = -2 + b

+2 +2

6 = b

So the y-intercept is 6 now we can complete the equation.

`y = -(2)/(3)x + 6`

Hope that helps and have a great day!