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A line, y = mx + b, passes through the point (10, 3) and is parallel to the line 2x+5y=12.

What is the y-intercept

User Sajjon
by
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1 Answer

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We have been given that a line
y=mx+b passes through the point (10, 3) and is parallel to the line
2x+5y=12. We are asked to find the y-intercept of the line.

First of all we will rewrite our given equation in slope-intercept form as:


2x-2x+5y=12-2x


5y=-2x+12


(5y)/(5)=-(2)/(5)x+(12)/(5)


y=-(2)/(5)x+(12)/(5)

We know that slope of parallel lines is equal, so slope of parallel line to our given line would be
-(2)/(5).

Now we will use slope-intercept form of equation to find y-intercept.


y=mx+b, where,

m = Slope,

b = The y-intercept.

Let us substitute
m=-(2)/(5) and coordinates of point
(10,3) in above equation as:


3=-(2)/(5)(10)+b


3=-2(2)+b


3=-4+b


3+4=-4+4+b


7=b

Therefore, the y-intercept is 7 and our required equation would be
y=-(2)/(5)x+7.

User Chenghwa
by
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