find the value of y so that the line passing through the given points has the given slope. (2,3) (7,y) m=-2/5

Answer 1

-2/5 = (y-3) / (7-2)

You can set your slope equal to the difference of the y values, divided by the difference of the x values.

You want to think about y - 3 = -2

y = 1

1 - 3 = -2

-2 = -2

Answer 2

If you know that m= (y2-y1)/(x2-x1) is equal to slope, you can label (2,3) as (x1, y1) and (7,y) as (x2,y2). In this question, you are going to "work backwards" since you already know the slope, and now we are solving for y or as we labeled it y2.

Your equation to solve should look like this.

(y2-3)/(7-2) = -2/5

Now you can solve that equation! Try that and see if that can help you finish the problem.