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.
(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 = 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