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What is the slope-intercept equation of the line below?

What is the slope-intercept equation of the line below?-example-1
User Ksarunas
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2 Answers

5 votes
The slope intercept equation of the line above is y=-2x+3
User Heikura
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3 votes

Answer: The correct option is

(A)
y=-(5)/(4)x+3.

Step-by-step explanation: We are given to find the slope-intercept equation of the graphed line.

We know that

the slope-intercept equation of a line with slope m and y-intercept c is given by


y=mx+c~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

From the graph, we note that the slope and y-intercept of the graphed line are


m=-(5)/(4),~~~~~(0,c)=(3,0)~~~\Rightarrow c=3.

Substituting the values of m and c in equation (i), we get


y=mx+c\\\\\Rightarrow y=-(5)/(4)+3.

Thus, the required slope-intercept equation of the graphed line is
y=-(5)/(4)x+3.

Option (A) is CORRECT.

User Mangooxx
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