Question

Based on the graph of the line below, which describes the relationships between the value of the y intercept and the value of the slope?1. The y-intercept is 3, and the slope is 1/3 2. The y-intercept is 1/3 and the slope is 3. 3. The y-intercept is 3. and the slope is 3. 4. The y-intercept is 1/3 and the slope is 1/3

Answer 1

The graph shows a line that represents the relationship between variables x and y.

Where the line croses the y-axis, the point is called "y-intercept" and it is equal to (0,3)

Where the line croses the x-axis, the point is called "x-intercept" and is equal to (-10,0)

To calculate the slope you have to use two griven points, for example the y-intercept (0,3) and the point (3,4). The formula to calculate the slope is:

`m=(y_1-y_2)/(x_1-x_2)=(4-3)/(3-0)=(1)/(3)`

The slope of the line is equal to 1/3

The correct choice is: 1. The y-intercept is 3, and the slope is 1/3