Question

What is the slope-intercept form equation of the line that passes through (3, 4) and (5, 16)?

Answer 1

Answer:
y = 6x - 14

Step-by-step explanation:
The general formula of the linear line is:
y = mx + c
where:
m is the slope and c is the y-intercept

1- getting the slope:
slope is calculated as follows:
m =
`(y2-y1)/(x2-x1)` =
`(16-4)/(5-3) = 6`

The equation of the line now is:
y = 6x + c

2- getting the y-intercept:
To get the y-intercept, we will use any of the given points, substitute in the equation and solve for c.
I will use the point (3,4) as follows:
y = 6x + c
4 = 6(3) + c
4 = 18 + c
c = -14

Based on the above calculations, the equation of the line is:
y = 6x - 14

Hope this helps :)