Question

What does the value of x have to be so that

(x,-7) and (-1,4) have a slope of 11/4 between them?

Answer 1

The value of x is 5

Solution:

The slope of a line is given by formula:

`Slope = ( y_2-y_1)/(x_2-x_1)`

From given,

`slope = \frac{11}4}\\\\(x_1, y_1) = (x, -7)\\\\(x_2, y_2) = (-1, 4)`

Substituting the values we get,

`(11)/(4) = (4+7)/(-1-x)\\\\-11 - 11x = 11 * 4\\\\-11-11x = 44\\\\11x = -11-44\\\\11x = 55\\\\x = 5`

Thus the value of x is 5