Question

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

Answer 1

Answer:

Slope is 2

Y-intercept is 7

Step-by-step explanation:

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

and use it in the formula :

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

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

now we put these points in the formula and it becomes

$m=\frac{9-7}{1-0}$

$m=2$

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