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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