Question

can you please solve this practice problem for me I really need assistance. find the slope and the equation of the line.

Answer 1

The slope m of the line is;

`m=20`

Step-by-step explanation:

Given the graph in the attached image.

We want to find the slope of the graph.

The slope can be calculated using the formula;

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

Taking two points from the graph;

`\begin{gathered} (x_1,y_1)=(0,500) \\ (x_2,y_2)=(25,1000)_{} \end{gathered}`

Substituting the coordinates, we have;

`\begin{gathered} m=(1000-500)/(25-0) \\ m=(500)/(25) \\ m=20 \end{gathered}`

Therefore, the slope m of the line is;

`m=20`

The y-intercept of the line is at;

`y=500`

Writing the slope intercept form of the equation;

`y=mx+b`

where;

m = slope

b = y-intercept

substituting the slope and the y intercept we have;

`y=20x+500`

Therefore, the equation of the line is;