x | y
5 13
7 17
9 21
11 25
13 29
a. What is the y-intercept?
b. What is the slope
c. Write an equation for the line.
a. The y-intercept is the value of y when x=0. Looking at the given points, we can see that when x=0, y=13. Therefore, the y-intercept is 13.
b. The slope is the change in y divided by the change in x. Looking at the given points, we can see that the change in y is 13-5=8, and the change in x is 7-5=2. Therefore, the slope is 8/2=4.
c. The equation for the line is y = mx + b, where m is the slope and b is the y-intercept. Substituting the values, we have y = 4x + 13.