Answer:
y = 3x - 6
Step-by-step explanation:
1. Slope-intercept form is y = mx +b
2. Use the given coordinates to plug into the slope equation: [tex]\frac{y{2}-y{1}}{x{2}-x{1}}[/tex]
[tex]\frac{6-0}{5-2}=\frac{6}{3}=2[/tex]
3. Now you have y = 3x + b
4. To find the y-intercept, plug in one of the coordinates to the equation you have so far. Using (2, 0):
0 = 3(2) + b
0 = 6 + b
-6 = b
5. Final answer: y = 3x - 6