RUNNING Izzy runs at an average speed of 5.2 miles per hour . After 4 hours, Izzy has run 21 miles Write an equation in point-slope form to find the total number of miles Izzy travels y after x hours.

## Step 1The problem provides us with the speed of Izzy, which is 5.2 miles per hour, and the distance she has run after 4 hours, which is 21 miles. We are asked to find an equation in point-slope form that represents the total number of miles Izzy travels after x hours.## Step 2The point-slope form of a linear equation is given by:### \(y - y_1 = m(x - x_1)\)where is the slope of the line, and \((x_1, y_1)\) is a point on the line.## Step 3In this case, the slope is the speed of Izzy, which is 5.2 miles per hour. The point \((x_1, y_1)\) is the distance Izzy has run after 4 hours, which is 21 miles.## Step 4Substituting these values into the point-slope form, we get:### \(y - 21 = 5.2(x - 4)\)