Question

the graph shows the distance a microcar travels at its top speed over time. the slope is 40. the speed of the car is 40 miles per hour. write an equation for the distance the car travels, y, after x hours.

Explanation:

Step1: Recall the slope-intercept form

The slope-intercept form of a linear equation is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Step2: Determine the slope and y-intercept

From the problem, the slope \( m \) (which is the speed) is 40. The graph passes through the origin \((0,0)\), so the y-intercept \( b = 0 \).

Step3: Substitute \( m \) and \( b \) into the equation

Substituting \( m = 40 \) and \( b = 0 \) into \( y = mx + b \), we get \( y = 40x + 0 \), which simplifies to \( y = 40x \).

Answer:

\( y = 40x \)