Question

What is the slope, m, and the y-intercept of the line that is graphed below?

Answer 1

Answer:  The correct option is

(A) m = 1; (0, 3).

Step-by-step explanation:  We are given to find the slope, m, and the y-intercept of the graphed line.

We know that

the slope of a line passing through the points (a, b) and (c, d) is given by

$m=\dfrac{d-b}{c-a}.$

From the graph, we note that the line passes through the points (-3, 0) and (-1, 2).

Therefore, the slope of the graphed line will be

$m=\dfrac{2-0}{-1-(3)}=\dfrac{2}{2}=1.$

Also, at x = 0, the value of the y-coordinate is 3. So, the y-intercept of the line is (0, 3).

Thus, the slope, m = 1  and the y-intercept is (0, 3).

Option (A) is CORRECT.

Answer 2

m=1; (0,3) As the line passes through (0,3) so the y intercept is 3 and the slope is rise/run . Lets take two points (1,4)and (0,3) 3-4/0-1= -1/-1= 1.

m=1 ; y intercept is (0,3)