Question

What is the slope and y-intercept of this graph?

Answer 1

Slope is 2

Y-intercept is 7

Explanation:

To find the slope we take any two points from the table

and use it in the formula :

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

we take the points (0,7) and (1,9)

now we put these points in the formula and it becomes

`m=(9-7)/(1-0)`

`m=2`

so our slope which is m is 2 and now for the y-intercept we use the standard equation

`y=mx+c`

where c is the y-intercept

we use the value of m which is 2 and use any point from the table lets take (0,7)

`y=mx+c\\7=(2)(0)+c\\7=c`

our y-intercept which is c is 7

so finally our slope is 2 and y-intercept is 7