Answer:
y = 2x
Step-by-step explanation:
Step 1: Pick two points on the line. For this one, logical points would be (0, 0) and (1, 2).
Step 2: Use these points and the slope formula to solve for the slope.
[tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m =\frac{2-0}{1-0}[/tex]
[tex]m = \frac{2}{1}[/tex]
[tex]m=2[/tex]
Step 3: Use this slope in the equation of a line.
[tex]y=mx+b\\y=2x+b[/tex]
Step 4: Substitute a point into the equation of a line to solve for the b value. I will use point (0, 0).
[tex]y=2x+b\\0=2(0) +b\\0=0+b\\b=0[/tex]
Therefore the function is y = 2x.
