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Question -

Find the equation of a straight line:
(i) with slope 2 and y – intercept 3;
(ii) with slope – 1/ 3 and y – intercept – 4.
(iii) with slope – 2 and intersecting the x–axis at a distance of 3 units to the left of origin.



Answer -

(i) With slope 2 and y –intercept 3

The slope is 2 and thecoordinates are (0, 3)

Now, the requiredequation of line is

y = mx + c

Substitute the values,we get

y = 2x + 3

(ii) With slope – 1/ 3 andy – intercept – 4

The slope is – 1/3 andthe coordinates are (0, – 4)

Now, the requiredequation of line is

y = mx + c

Substitute the values,we get

y = -1/3x – 4

3y + x = – 12

(iii) With slope – 2 andintersecting the x–axis at a distance of 3 units to the left of origin

The slope is – 2 andthe coordinates are (– 3, 0)

Now, the requiredequation of line is y – y1 = m (x – x1)

Substitute the values,we get

y – 0 = – 2(x + 3)

y = – 2x – 6

2x + y + 6 = 0

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