Question

30. Find the equation of straight line whose slope

is 3 times and y-intercept is double of the line
2x - 3y = 4.​

Answer 1

3y=2x-8

Explanation:

when y intercept x=0

2(0)-3y=4

-3y=4

y=-4/3

when x intercept y=0

2x -3(0)=4

2x =4

x=2

point (2,-4/3)

gradient

-3y=-2x +4

y=2x/3-4/3

gradient=2/3

equation

y+4/3=2/3(x-2)

3y+4=2x-4

3y=2x-8

Answer 2

Explanation:

gradient/slope = 3

y-intercept

2x - 3y = 4

3y = 2x - 4

y = 2/3x - 4/3

so y-intercept is double -4/3 so... -4/3x2 = -8/3

the equation of the line is

y = 3x - 8/3 or 9x - 3y = 8