Question

The point (9,7) and (10,x) lie on the same line. If the slope of the line is 5, what is the value of x?

a. 10
b. 12
c. 14
d. 15

Answer 1

To find the value of x for the point (10,x) on the line with a slope of 5, we use the slope formula, resulting in x = 12.

Step-by-step explanation:

The question involves finding the value of x for a point on a line with a given slope. The slope is the ratio of the vertical change to the horizontal change between any two points on a line. For the points (9,7) and (10,x), the slope is given as 5. To find the value of x, we can use the formula for slope which is (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Substituting the given values we get (x - 7) / (10 - 9) = 5. Simplifying, x - 7 = 5 × 1, which gives x = 12. Therefore, the value of x is 12.