Question

What is the equation in slope-intercept form of the line that passes through the points

(-4, 2) and (12, 6)?

Answer 1

`y=(1)/(4) x+3.`

Explanation:

1. if the points (-4;2) and (12;6) belong to the required line, then it is possible to make up its equation:

`(x+4)/(12+4) =(y-2)/(6-2); \ (x+4)/(4)=(y-2)/(1);`

2. if the common form of line in slope-interception form is 'y=s*x+i' (where s - slope, i - interception), then after evaluation of the equation in item 1:

4(y-2)=x+4; ⇒ 4y=x+12; ⇔

`y=(1)/(4)x+3.`