Answer:
[tex]y = \frac{7}{2}x[/tex]
Step-by-step explanation:
1. The slope-intercept form of a linear equation is written as [tex]y = mx + b[/tex], where y is the y-coordinate, m is the slope, x is the x-coordinate, and b is the y-intercept.
2. To solve for the slope, let's take the two points (0,0) and (2,7) and plug their values into this formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
- [tex]\frac{7-0}{2-0}[/tex]
- [tex]\frac{7}{2}[/tex]
3. Our slope is 7/2, so the equation looks like this so far: [tex]y = \frac{7}{2}x + b[/tex]
4. Because b is the y-intercept, b = 0 because the line intersects the y-axis at (0,0).
5. Now, when we plug in the values of the slope and y-intersect, we get: [tex]y = \frac{7}{2}x[/tex].
Therefore, the equation is [tex]y = \frac{7}{2}x[/tex]
