Question

A line with a slope of 2/3 passes through the coordinate (-6, 0). If this line also passes through the coordinate (x, 6), what is the value of x?

Answer 1

To find the value of x for a line with a slope of 2/3 passing through (-6, 0) and (x, 6), we use the slope formula and calculate that x = 3.

Step-by-step explanation:

To find the value of x for which a line with a slope of 2/3 passes through the points (-6, 0) and (x, 6), we can use the slope formula:

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

Substituting the given values into the formula:

(6 - 0) / (x - (-6)) = 2/3

After simplifying, we have:

6 / (x + 6) = 2/3

Cross-multiplying gives:

3 × 6 = 2 × (x + 6)

18 = 2x + 12

Subtracting 12 from both sides:

6 = 2x

Dividing by 2:

x = 3

Hence, the value of x is 3.