Question

Draw a graph of each of the following equations: 2(x - 5) = `(3)/(4)(y - 1)`

Answer 1

2(x - 5) = `(3)/(4)(y - 1)`

⇒ 8(x - 5) = 3(y - 1)
⇒ 8x - 40 = 3y - 3
⇒ 3y = 8x - 40 + 3
⇒ 3y = 8x - 37

y = `(8x - 37)/(3)`

When x = 2, = `(8(2) - 37)/(3)` = -7

When x = 5, y = `(8(5) - 37)/(3)` = 1

When x = -1, y = `(8(-1) - 37)/(3)` = -15

x	2	5	-1
y	-7	1	-15

Plotting the points (2, -7), (5, 1) and (-1, -15), we get a line AB as shown in the figure.