Question

find the missing value so the line passing through the points has the given slope.(10,y) and (3,4);m=3/4

Answer 1

The value of y is 9¼.

Step-by-step explanation:

Given that the slope of the set of points (10,y) and (3,4) is 3/4.

Using the slope formula:

`\text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}}`

We have:

`(3)/(4)=(4-y)/(3-10)`

We then solve for y:

`\begin{gathered} (3)/(4)=(4-y)/(-7) \\ \text{Cross multiply:} \\ 4(4-y)=-21 \\ 16-4y=-21 \\ -4y=-21-16 \\ -4y=-37 \\ y=(-37)/(-4) \\ y=9(1)/(4) \end{gathered}`

The value of y is 9¼.