Question

Find the x-intercept and the y-intercept for the graph of y=3x-4

Answer 1

x intercept is when y = 0
0 = 3x - 4
4 = 3x, x = 4/3
y intercept is when x = 0
y = 3(0) - 4
y = 0-4, y = -4
Solution: x intercept: (4/3,0)
y intercept: (0,-4)

Answer 2

y-intercept: -4

x-intercept:
`\frac43`

Explanation:

Hello!

Equation of a Line:
`y = mx + b\\`

• m = slope
• b = y-intercept

Given our equation:
`y = 3x - 4`

• slope = 3
• y-intercept = -4

The y-intercept is -4.

You can calculate the x intercept by plugging in 0 for y and solving for x.

Solve for x-intercept

• 
  `0 = 3x - 4`
• 
  `4 = 3x`
• 
  `\frac43 = x`

The x-intercept is
`\frac43`.