Question

What's the slope and y-intercept of the equation 3x + 4y = 8? A) m = –3∕4; b = 2 B) m = –4; b = 3 C) m = 3∕4; b = –2 D) m = –3; b = –4

Answer 1

First isolate y

• 3x+4y=8
• 4y=-3x+8
• y=-3/4x+8/4
• y=-3/4x+2

Compare to slope intercept form y=mx+b

• Slope=m=-3/4
• y intercept=b=2

Answer 2

• A) m = –3∕4; b = 2

Explanation:

The slope-intercept form is

• y = mx + b, where m- slope, b- y-intercept

Convert the given equation into slope-intercept form

• 3x + 4y = 8
• 4y = - 3x + 8
• y = - 3/4x + 2

The slope is:

• m = - 3/4

The y-intercept is:

• b = 2

Correct choice is A