Answer:
y = 5x
Step-by-step explanation:
1. The slope-intercept form of any linear equation is [tex]y = mx + b[/tex], where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.
2. To find the slope, let's take the two points (0,0) and (100,500) to then plug their values in this formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
- [tex]\frac{500-0}{100-0}[/tex]
- [tex]\frac{500}{100}[/tex]
- [tex]5[/tex]
3. Okay, great! Now that we have our slope, the equation, so far, looks like this: y = 5x + b.
4. Because b is the y-intercept, b will equal 0 because the line intersects with the y-axis at the coordinate (0,0).
Therefore, our equation is y = 5x.
