Question

The points (12, 3) and (20, 5) fall on a particular line. What is its equation in slope-intercept form?

Answer 1

Answer:

y= ¼x

Step-by-step explanation:

Slope-intercept form

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

$\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

Slope

$= \frac{5 - 3}{20 - 12}$

$= \frac{2}{8}$

$= \frac{1}{4}$

Substitute the value of the slope into the equation:

y= ¼x +c

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

When x= 12, y= 3,

$3 = \frac{1}{4} (12) + c$

3= 3 +c

c= 3 -3

c= 0

Thus, the equation of the line is y= ¼x.