Question

Write the equation of the line in slope intercept form given the X intercept is (-3,0) and the y intercept is (0,4)

Answer 1

Slope is rise over run
4-0/0-(-3)
4/3

Y intercept is given. Plug both into slope intercept form

Final answer: y= 4/3x+4

Answer 2

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

Explanation:

If a line passes through two points, then the slope of the line is

`m=(y_2-y_1)/(x_2-x_1)`

It is given that the line passes through the points (-3,0) and (0,4). So, the slope of the line is

`m=(4-0)/(0-(-3))`

`m=(4)/(3)`

The slope intercept form of a line is

`y=mx+b`

where, m is slope and b is y-intercept.

The slope of the line is 4/3 and y-intercept is 4. So, the equation of line is

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

Therefore, the required equation is
`y=(4)/(3)x+4`.