Question

What is the slope and the y-intercept of the line on the graph below?

Answer 1

Answer:

Option C is correct.

Step-by-step explanation:

Given the graph we have to find the slope and y intercept of given line.

The graph passes through the points (4,0) and (0,1)

$\text{The slope of line joining the point }(x_1,y_1)\text{ and }(x_2, y_2)\text{ can be calculated by the formula}$

$slope,m=\frac{y_2-y_1}{x_2-x_1}$

As graph passes through the points ((4,0) and (0,1)

The slope is

$slope,m=\frac{1-0}{0-4}=\frac{-1}{4}$

The y-intercept is the point of y-axis at which the line crosses the y-axis

Here the graph crosses the y-axis at 1 therefore y-intercept in 1

Hence, Option C is correct.

Answer 2

slope = change in y / change is x

slope = rise / run

change in y = -1 (goes down 1)

change is x = 4 (goes right 4)

slope = -1/4

y-intercept, when x = 0

y-intercept = 1 = (0,1)