Question

Find the Value of y so that the line passing through the two points has the given slope.

1) (0,y), (2,7); m= 1/2

Answer 1

The value of y is 6.

Explanation:

To find the value of y, start by using the known information we have in the equation for slope. The equation is below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.

1/2 = (7 - y)/(2 - 0)

1/2 = (7 - y)/2

Now we can use cross multiplication to solve for y.

1/2 = (7 - y)/2

1*2 = 2(7 - y)

2 = 14 - 2y

-12 = -2y

6 = y