Answer:
Step-by-step explanation:
The model equation: y = mx + b
First, we should find the slope. The equation is
[tex]\frac{y2 - y1}{x2-x1}[/tex]
The numbers in the equation stand for the y or x variable from either the first or second point. So, we plug in the numbers and get,
[tex]\frac{3-0}{4-(-2)}[/tex]
[tex]\frac{3}{4+2}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
What we have right now is y = 1/2x + b. To solve for b (the y-intercept), we have to take one of the points and plug in the x and y variables. If we take the first point, the equation becomes,
3 = 1/2(4) + b
3 = 2 + b
b = 3 - 2
b = 1
The final equation is,
y = [tex]\frac{1}{2}[/tex]x + 1
