FINDING SLOPE AND Y INTERCEPT FROM THE GIVEN EQUATION

Finding Slope and y Intercept from the Given Equation :

Here we are going to see some practice problems on finding slope and y-intercept from the given equation.

Finding Slope and y Intercept from the Given Equation - Examples

Question 5 :

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

(i) y = x + 1

Solution : 

To find the slope and y-intercept of any line, we have to compare the given equation with y = mx + c.

Here m stands for slope and c stands for y-intercept.

y = x + 1

y = mx + c

By comparing the given equation with general equation, we get slope (m) = 1 and y-intercept c = 1

(ii) 5x = 3y

Solution :

3y = 5x 

y = (5/3)x

Slope m = 5/3, y-intercept (c) = 0

(iii) 4x - 2y + 1 = 0

Solution :

2y = 4x + 1

y = (4/2)x + (1/2) 

y = 2 x + (1/2)

Slope m = 2, y-intercept (c) = 1/2

(iv) 10x + 15y + 6= 0

Solution :

15y = -10x - 6 

y = (-10/15)x - (6/15) 

y = (-2/3) x - (2/5)

Slope m = -2/3, y-intercept (c) = 2/5

Question 6 :

Find the equation of the straight line whose

(i) slope is -4 and passing through (1, 2)

Solution :

Slope (m)  = -4 (x₁,y₁) ==>  (1, 2)

(y - y₁)  =  m (x - x₁)

(y - 2)  =  -4(x - 1)

y - 2  =  -4x + 4 

4x + y - 2 - 4 = 0

4x + y - 6 = 0

(ii) slope is 2/3 and passing through (5, -4)

Solution :

Slope (m)  = 2/3, (x₁,y₁) ==>  (5, -4)

(y - y₁)  =  m (x - x₁)

(y - (-4)) =  (2/3)(x - 5)

(y + 4) = (2/3) (x - 5)

3(y + 4) = 2(x - 5)

3y + 12 = 2x - 10

2x - 3y - 10 - 12 = 0

2x - 3y - 22 = 0

After having gone through the stuff given above, we hope that the students would have understood "Finding Slope and y Intercept from the Given Equation".

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