Question

How do you write an equation in slope-intercept form for the line through the given points (1,4); (2,7)?

Answer 1

`y=3x+1`

Explanation:

Gradient/slope is`(7-4)/(2-1)`=3
This gives us the equation `y=3x+c` where we substitute (1,4) or (2,7) into it.

`=>` `7=3xx2+c`

`=>` `7=6+c` so `c=1`

`y=3x+1`