A line contains the points (6, 10) and (15, 22). If the line intersects the y-axis at (0, b), what is the value of b?
+781 We write this equation in slope intercept form using the two given points. With the slope formula, we find that the slope, m is 4/3. We currently have y=4/3x+b. We can plug either given point into this equation to find b. We plug in (6, 10) to get
y=4/3x+b
10=4/3(6)+b
10=8+b
b=2.
