Question

What is the equation in slope intercept form of the line passing through (0,3) and has a slope of -6?

Answer 1

y = -6x+3

Explanation:

We have given a point that is passing through the line and slope of the line.

(0,3) and slope = m = -6

We have to find slope-intercept form of the line that passes through the given point and has slope.

y = mx+c is slope-intercept form of the line where m is slope and c is y-intercept.

y-intercept is a point where the value of x is zero.

hence, c = 3.

Putting given values in above formula, we have

y = (-6)x+(3)

y = -6x+3 which is the answer.

Answer 2

`y=-6x+3`

Explanation:

we know that

The equation of the line in slope intercept form is equal to

`y=mx+b`

we have

`m=-6`

`b=3` ------> is the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero -----> is the given point

substitute

`y=-6x+3`