Answer:
y = 8x
Step-by-step explanation:
1. First, we need to know what slope-intercept form is. The slope-intercept form of any linear equation is y = mx + b, 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 (10,80) and plug their values into this formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
- [tex]\frac{80-0}{10-0}[/tex]
- [tex]\frac{80}{10}[/tex]
- [tex]8\\[/tex]
3. Now that we know our slope, our equation should look like this so far: y = 8x + b.
4. Since b is the y-intercept, we can say that b = 0 because the line intersects with the y-axis at (0,0).
5. Therefore, we get an equation of y = 8x or y = 8x + 0.
