Answer:
[tex]y = \frac{5}{4}x[/tex]
Step-by-step 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: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
- [tex]\frac{500-0}{400-0}[/tex]
- [tex]\frac{500}{400}[/tex]
- [tex]\frac{5}{4}[/tex]
3. The slope is 5/4, so the equations looks like this so far: [tex]y=\frac{5}{4}x + 0[/tex]
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: [tex]y= \frac{5}{4}x[/tex]
