Equation of line Solution2



In this page equation of line solution2 we are going to see solution of each problem with detailed explanation of the worksheet slope of the line.

(5)Find the slope and y-intercept of the line whose equation is

(i)  y = x + 1       

Solution

To find slope and y-intercept of the given line we have to compare the equation with slope intercept formula y = m x + c

y = x + 1

y = m x + c

Here instead of m we have 1 and instead of c we have 1.

So

Slope = 1

Y-intercept = 1


(ii) 5x = 3y  

Solution

To find slope and y-intercept of the given line we have to compare the equation with slope intercept formula y = m x + c

5x = 3y

3 y = 5 x + 0

 Y = (5/3) x + 0

y = m x + c

Here instead of m we have 5/3 and instead of c we have 0.

So

Slope = 5/3

Y-intercept = 0


(iii) 4 x – 2 y + 1 = 0    

Solution

To find slope and y-intercept of the given line we have to compare the equation with slope intercept formula y = m x + c

4 x – 2 y + 1 = 0

2 y = 4 x + 1

 y = (4/2) x + 1/2

 y = 2 x + 1/2

 y = m x + c

Here instead of m we have 2 and instead of c we have 1/2.

So

Slope = 2

Y-intercept = 1/2


(iv)  10 x + 15 y + 6 = 0

Solution

To find slope and y-intercept of the given line we have to compare the equation with slope intercept formula y = m x + c

10 x + 15 y + 6 = 0

15 y = -10 x - 6

 y = (-10/15) x – (6/15)

 y = (-2/3) x - 2/5

 y = m x + c

Here instead of m we have -2/3 and instead of c we have -2/5.

So

Slope = -2/3

Y-intercept = -2/5


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