Question

Write an equation for the line shown on the right. answer needs to be in slope-intercept form.

Answer 1

Answer:
`y\text{ = }(3)/(8)x\text{ + 2}`

Step-by-step explanation:

Given:

A linear graph

To find:

the equation of the line

The formula for linear equation is given as:

y = mx + b

m = slope

b = y-intercept

We need to get the slope and y-intercept of the line. To get the slope, two points will be picked on the line

Using points: (-8, -1) and (0, 2)

`\begin{gathered} slope\text{ = }m\text{ = }(y_2-y_1)/(x_2-x_1) \\ x_1=-8,y_1=-1,x_2=0,y_2\text{ = 2} \\ m\text{ = }(2-(-1))/(0-(-8))=(2+1)/(0+8) \\ m\text{ = 3/8} \end{gathered}`

The y-intercept is the value of y when x = 0. On the graph, it is the value of y when the line crosses or touches the y-axis.

The line crosses the y axis at y = 2

b = y-intercept = 2

The equation of the line in slope-intercept form becomes:

`y\text{ = }(3)/(8)x\text{ + 2}`