Question

Find the value of x so that the line passing through the points will have the given slope: (x, 6) and (10, -3) with a slope of -3/2.

A. -13
B. 4
C. 13
B. -12

Answer 1

\[gradient = \frac{ y_2 - y_1 }{ x_2 - x_1 }\]

we know all of these except \[x_1\]

\[(x_1,y_1) = (x, 6)\]

\[(x_2, y_2) = (10, -3)\]

gradient is equal to -3/2

so..

\[-\frac{ 3 }{ 2 } = \frac{ -3 - 6 }{ 10 - x }\]

rearranging:

\[x = 6\]

Answer 2

Sorry, rearranging gives x = 4

Answer 3

thanks.