Question

Please help me out!
Identify the equation in slope-intercept form for the line that contains points (3,−10) and (6,5).

A. y = 5x + 10
B. y = 10x − 25
C. y = 3x − 15
D. y = 5x − 25

Answer 1

The equation in slope intercept form is given by;

$y = mx + c$
Where m is the slope, given by;

$m = \frac{5 - - 10}{6 - 3}$
$m = \frac{5 + 10}{6 - 3}$
$m = \frac{15}{3} = 5$
We substitute the value of m into the equation to obtain;

$y = 5x + c$
We find c by substituting any of the points,

$5= 5(6) + c$
$5 = 30 + c$
$c = - 25$
This implies the equation in slope intercept form is;

$y = 5x - 25$
The correct answer is D.