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

can you please solve this practice problem for me I really need assistance. find the-example-1
User Stephencelis
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1 Answer

16 votes
16 votes

Answer:

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;


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User KeithL
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2.4k points