Question

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

slope = –4, y-intercept = 1
slope = –4, y-intercept = 4
slope = -1/4, y-intercept = 1
slope = -1/4, y-intercept = 4

Answer 1

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)

Answer 2

Option C is correct.

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=(y_2-y_1)/(x_2-x_1)`

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

The slope is

`slope,m=(1-0)/(0-4)=(-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.