Question

Find the equation of the line using exact numbers y=? and x+?

Answer 1

Answer: y=(0,4) x=(0,-2)

Step-by-step explanation: find where the x and y intercepts intersect and plot the points from the line according to the slope

Answer 2

The equation of the line is (y=2x+4).

Explanation:

Let the coordinates at which line cuts x axis be :
`(x_1,y_1)=(-2,0)`

Let the coordinates at which line cuts y axis be :
`(x_2,y_2)=(0,4)`

To find the equation of the line we will use point-slope form from the coordinates (-2,0) and (0,4).

Slope of the line= m

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

`m=(4-0)/(0-(-2))=2`

`(y-y_1)=m* (x-x_1)`

`(y-0)=2* (x-(-2))`

`y=2x+4`

The equation of the line is (y=2x+4).