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What is the equation of the following line written in slope intercept form? (-5,-1)

What is the equation of the following line written in slope intercept form? (-5,-1)-example-1
User GSD
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1 Answer

1 vote

Answer:


\large\boxed{y=-(2)/(3)x-(13)/(3)}

Explanation:

The slope-intercept form of an equation of a line:


y=mx+b

m - slope

b - y-intercept

The formula of a slope:


m=(y_2-y_1)/(x_2-x_1)

From the graph we have two points (-5, -1) and (-2, -3).

Look at the picture.

Calculate the slope:


m=(-3-(-1))/(-2-(-5))=(-2)/(3)=-(2)/(3)

Put it to the equation in slope-intercept form:


y=-(2)/(3)x+b

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate b:


-1=-(2)/(3)(-5)+b


-1=(10)/(3)+b subtract 10/3 from both sides


-(3)/(3)-(10)/(3)=b\to b=-(13)/(3)

Finally:


y=-(2)/(3)x-(13)/(3)

What is the equation of the following line written in slope intercept form? (-5,-1)-example-1
User Petertc
by
8.6k points

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