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**

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

equation of line solution2 equation of line solution2

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