Answer:
y= ¼x
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Slope
[tex] = \frac{5 - 3}{20 - 12} [/tex]
[tex] = \frac{2}{8} [/tex]
[tex] = \frac{1}{4} [/tex]
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,
[tex]3 = \frac{1}{4} (12) + c[/tex]
3= 3 +c
c= 3 -3
c= 0
Thus, the equation of the line is y= ¼x.
