Question

which of the following is the equation of a line in slope intercept form for a line in slope intercept form for a line with slope = 4 and y-intercept at (0,2)

Answer 1

Slope intercept is form is y=mx+b. M is slope and b is y-intercept
Answer:y=4x+2

Answer 2

`y=4x+2`

Explanation:

Since, the equation of a line passing through
`(x_1,y_1)` and having slope m is,

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

Here,
`x_1=0`
`y_1=2` and m = 4,

Thus, the equation of the line is,

`y-2=4(x-0)`

`y=4x+2`

We know that, the slope intercept form of a line is y = mx + c where m is slope of the line.

Hence, the required slope intercept form of the line would be,

`y=4x+2`