Express the following equation in point-slope form and intercept form of a line.

Question

1. 2y = 3x + 4

Point-slope form:

Intercept form:

2. 3y = -4x - 1/2

Point-slope form:

Intercept form:

3. 4x - 2y = 3

Point-slope form:

Intercept form:

4. 2/3y + 4x = 2

Point-slope form:

Intercept form:

5. 2x - 7 = 0

Point-slope form:

Intercept form:

Answer 1

the following are the slope intercept forms, y=mx+b where b, the constant term is the y intercept

1 2y=3x+4

y = (3/2)x + 2

2 3y =-4x - 1/2

y =(-4/3)x - 1/6

3 4x-2y = 3

-2y = -4x +3

y = 2x -3/2

4 2y/3 + 4x = 2

2y/3 = -4x + 2

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

y = -6x + 3

5 2x-7 = 0

has no y intercept and no defined slope

you could try to write it as 0y = 2x -7

then divide by zero, but that's undefined

You can't divide by zero.

y =(2/0)x -7/0 has an undefined slope and undefined intercept. It's a vertical line, parallel to the y axis, so it never intersects the y axis.