Equation of line Solution1



In this page equation of line solution1 we are going to see solution of each problem with detailed explanation of the worksheet slope of the line.

(1) Write the equations of the straight lines parallel to x-axis which are at a distance of 5 units from the x-axis

Let us draw lines parallel to x-axis which is at a distance of 5 units from the x-axis

Solution


(2) Find the equations of the straight lines parallel to the coordinates axes and passing through the point (-5,-2)

Solution

Therefore the two required equations are y = -2 and x = -5


3) Find the equation of a straight line whose

(i) Slope is -3 and y-intercept is 4.

Solution

Slope (m) = -3

Y-intercept (c) = 4

Equation of the straight line:

y = m x + c

y = 3 x + 4

Therefore the required equation of the line y = 3 x + 4

(ii) Angle of inclination is 60 degree and y-intercept is 3.

Solution

Slope (m) = tan  θ

           m = tan 60

           m = √3

y-intercept (c) = 3

Equation of the straight line:

y = m x + c

y = √3 x + 3

Therefore the required equation of the line y = √3 x + 3


(4) Find the equation of the line intersecting the y-axis at a distance of 3 units above the origin and tan  θ = 1/2, where Ѳ is the angle of inclination.

Solution

The required line is intersecting the y-axis at a distance of 3 units above the origin. So we can take y-intercept as 3

tan  θ = 1/2

    m = 1/2

Equation of the straight line:

y = m x + c

y = (1/2) x + 3

y = [x + (3x2)]/2

y = [x + 6]/2

2 y = x + 6

x – 2 y + 6 = 0

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equation of line solution1  equation of line solution1