Find the equation of a straight line:(i) with slope 2 and y – interc

1.	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) Here, The slope is 2 and the coordinates are (0, 3) Now, The required equation of line is y = mx + c y = 2x + 3 (ii) Here, The slope is – 1/3 and the coordinates are (0, – 4) Now, The required equation of line is y = mx + c y = -\(\frac{1}{3}\) x – 4 3y + x = – 12 (iii) Here, The slope is – 2 and the coordinates are (– 3, 0) Now, The required equation of line is y – y₁ = m (x – x₁) y – 0 = – 2(x + 3) y = – 2x – 6 2x + y + 6 = 0

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) Here, The slope is 2 and the coordinates are (0, 3)

Now, The required equation of line is

y = mx + c

y = 2x + 3

(ii) Here, The slope is – 1/3 and the coordinates are (0, – 4)

Now, The required equation of line is

y = mx + c

y = -\(\frac{1}{3}\) x – 4

3y + x = – 12

(iii) Here, The slope is – 2 and the coordinates are (– 3, 0) Now, The required equation of line is y – y₁ = m (x – x₁)

y – 0 = – 2(x + 3)

y = – 2x – 6

2x + y + 6 = 0