Question

Please help me this is my last question.

Answer 1

`y = (5)/(4)x`

Explanation:

1. The slope-intercept form of a linear equation is y = mx + b! Y is the y-coordinate, is the slope, x is the x-coordinate, and b is the y-intercept.

2. To find the slope, let's take any two points from the line, such as (0,0) and (400,500), and plug their values into this formula:
`(y_2-y_1)/(x_2-x_1)`

• 
  `(500-0)/(400-0)`
• 
  `(500)/(400)`
• 
  `(5)/(4)`

3. The slope is 5/4, so the equations looks like this so far:
`y=(5)/(4)x + 0`

4. Because b is the y-intercept, b = 0 because the line intersects with the y-axis at (0,0).

5. Now that we have our slope (5/4) and y-intercept (0), we plug in those values to the slope-intercept form and get the equation of:
`y= (5)/(4)x`