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

Answer:

The value of y is 9¼.

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:

$\frac{3}{4}=\frac{4-y}{3-10}$

We then solve for y:

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

The value of y is 9¼.