Question

A line with a slope of 9 passes through the points (-7,-10) and (-6,g).What is the value of g?

Answer 1

Answer:

g = -1

Step-by-step explanation:

Given the following data;

Slope, m = 9

Points = (-7, -10) and (-6, g)

X-axis = x1, x2 = (-7, -6)

Y-axis = (y1, y2) = (-10, g)

Mathematically, slope is given by the formula;

$Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}$

$Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}$

Substituting into the equation, we have;

9 = (g - (-10))/(-6 - (-7)

9 = (g + 10)/(-6 + 7)

9 = (g + 10)/1

Cross-multiplying, we have;

9 = g + 10

g = 9 - 10

g = -1