x y
5 7
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 is equal to 0. From the given data, we can see that the y-intercept is 7.
b. The slope of a line is the change in y divided by the change in x. From the given data, we can calculate the slope as (29-7)/(13-5) = 22/8 = 11/4.
c. To write the equation of the line, we can use the slope-intercept form: y = mx + b, where m represents the slope and b represents the y-intercept. From the given data, we have m = 11/4 and b = 7. Therefore, the equation of the line is y = (11/4)x + 7.