Question

What are the y-intercept and the slope of the line represented in the graph?

Answer 1

Answer:

B

Explanation:

The y intercept can be read directly off of the graph, and is where the line intersects the y of the graph.

The slope (gradient) can be determined by using the equation y=mx+c, where we can substitute in the y intercept and an x and y value on the line.

y=mx+4

(2;0) is a point on the line, it is the coordinates of the x intercept (y intercept will work as well)

0=m(2)+4
m=-2

Answer 2

Answer:

B

Step-by-step explanation:

Intercept at y-axis = 4

Slope m = (y2- y1)/(x2-x1)

From the gragh:

y2 = -2 , x2 = 3, y1 = 2 , x1 = 1

m = {-2 - 2}/{3 - 1}

m = -4/2 = -2