Question

the point (-2,6) is on a line with a slope of 3/4. If the point -8,k) is also on the same line what is the value of k

Answer 1

For a point with a slope 3/4 and which passes through the points  (-2, 6) and (-8, k), the value of k is 1.5

The line passes through the points (-2, 6) and (-8, k)

That is, $x_1=-2, y_1=6, x_2=-8, y_2=k$

The slope of the line, m = 3/4

The formula for calculating the slope of a line is given as:

$m=\frac{y_2-y_1}{x_2-x_1}$

Substitute   $x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}$ into the formula above

$\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5$

Therefore, the value of k is 1.5

Learn more here: brainly.com/question/25613656