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 1<br />The 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.<br /><br />## Step 2<br />The point-slope form of a linear equation is given by:<br />### \(y - y_1 = m(x - x_1)\)<br />where \(m\) is the slope of the line, and \((x_1, y_1)\) is a point on the line.<br /><br />## Step 3<br />In this case, the slope \(m\) 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.<br /><br />## Step 4<br />Substituting these values into the point-slope form, we get:<br />### \(y - 21 = 5.2(x - 4)\)