Question

Write in slope-intercept form an equation of the line that passes through the points (−15,−1) and (10,4).

Answer 1

Answer:

$y = \frac{1}{5} x + 2$

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

$\boxed{slope = \frac{y1 - y2}{x1 - x2} }$

Slope

$= \frac{4 - ( - 1)}{10 - ( - 15)}$

$= \frac{4 + 1}{10 + 15}$

$= \frac{5}{25}$

$= \frac{1}{5}$

Substitute m= ⅕ into the equation:

y= ⅕x +c

To find the value of c, substitute a pair of coordinates.

When x= 10, y= 4,

4= ⅕(10) +c

4= 2 +c

c= 4 -2

c= 2

Thus, the equation of the line is y= ⅕x +2.