Find x if the line through ( 2, 2) and ( x , 7) has a slope of $\frac { 9 } { 8 }$
A) -10
B) 3
C) 6
D) 11

Question

Quizplus · Accepted Answer

The slope formula is: 
$$ m = \frac{y_2 - y_1}{x_2 - x_1} $$
We know that one point is (2,2) and the slope is $\frac{9}{8}$. We can use this information to solve for x.
$$\frac{9}{8} = \frac{7 - 2}{x - 2} $$
Multiplying both sides by $x-2$:
$$\frac{9}{8}(x-2) = 5$$
$$9x - 18 = 40$$
$$9x = 58$$
$$x = 6\frac{2}{3}$$
Therefore, the answer is C) 6.

Find X If the Line Through ( 2, 2) and 98\frac { 9 } { 8 }89​

Find X If the Line Through ( 2, 2) and $\frac { 9 } { 8 }$