Question

What is the slope, m, and the y-intercept of the line that is graphed below? On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3). m = 1; (0, 3) m = 1; (–3, 0) m = –1; (0, 3) m = –1; (–3, 0)

Answer 1

m = 1; (0, 3)

Explanation:

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Answer 2

m = 1; (0, 3) is the correct answer.

Explanation:

The general equation of a line is given by:

`y=mx+c`

where, m is the slope of line

c is the y-intercept and

(x,y) are the points from where the line passes.

We are given that the line passes through 2 points (-3,0) and (0,3).

Putting the values of (x,y) in the equation of line.

Putting (0,3):

`3 = m * 0 + c\\\Rightarrow c =3`

So, y-intercept is (0,3).

Hence, equation of line becomes:

`y = mx + 3`

Putting (-3,0) in
`y = mx + 3`:

`0 = m(-3) +3\\\Rightarrow 3m = 3\\\Rightarrow m =1`

So, the equation of line becomes:

`y = x +3`

Please find attached graph.

m = 1; y intercept (0, 3) is the correct answer.