Question

1. Find the slope of the linem=2.Find the y-intercept. b=3.Write the equation of the line

Answer 1

slope = 3

the y-intercept is 4

y = 3x + 4

Step-by-step explanation:

To find the slope, we pick any two points on the graph

On the graph, each box represent one unit

Using points: (-2, -2) and (0, 4)

slope formula:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`
`\begin{gathered} x_1=-2,y_1=-2,x_2=0,y_2\text{ = }4 \\ m=\text{ }(4-(-2))/(0-(-2)) \\ \end{gathered}`
`\begin{gathered} m\text{ =}(4+2)/(0+2) \\ m\text{ = 6/2} \\ m\text{ = 3} \\ \text{slope = 3} \end{gathered}`

y intercept is the value of y when x = 0

When x = 0, y = 4

Hence, the y-intercept is 4

We apply equation of line: y = mx + c

c = y-intercept = 4, m = 3

Equation of the line: y = 3x + 4