Question

Help me please find the slope and y-intercept

Answer 1

Slope is 2.15

y-intercept is 2

Explanation:

We need to find slope and y-intercept of the graph given.

The formula used to find slope is:
`Slope=(y_2-y_1)/(x_2-x_1)`

Looking at the graph, we can find 2 points

Point 1 : (0,-2)

Point (2): (2,-2.3)

Now putting values and finding slope:

We have:
`x_1=0, y_1=-2, x_2=2, y_2=-2.3`

`Slope=(y_2-y_1)/(x_2-x_1)\\Slope=(2.3-(-2))/(2-0)\\ Slope=(2.3+2)/(2)\\ Slope=(4.3)/(2)\\Slope=2.15`

So, we get slope = 2.15

Now, finding y-intercept

y-intercept can be found if we put x =0

Looking at the graph, when x =0, y = 2

So, y-intercept is 2