Question

Darnell has recorded the estimated value of his car each year since 2017. Let x = 1 correspond to the year 2017. Find the slope-intercept form of the equation for

the line that passes through the points representing the value of his car in 2017. (1, 24,400), and the value of his car in 2021. (5, 16,099). Round the slope to the nearest hundredth, if necessary.
Year Value, $
2017 24,400
2018 22,300
2019 20,558
2020 18,900
2021 16,099

Answer 1

The slope is approximately -3300 and the y-intercept is 27,700.

Therefore, the slope-intercept form of the equation is y = -3300x + 27,700.

Step-by-step explanation:

To find the slope-intercept form of the equation for the line that passes through the points representing the value of Darnell's car in 2017 and 2021, we need to find the slope and the y-intercept.

The slope can be found using the formula: m = (y2 - y1) / (x2 - x1).

So, the slope is approximately equal to (16,099 - 24,400) / (5 - 1) = -3300.

The y-intercept can be found using the formula: b = y - mx.

We can substitute one of the points, (1, 24,400), into the formula and solve for b.

So, b = 24,400 - (-3300 * 1)

= 27,700.

Therefore, the slope-intercept form of the equation is y = -3300x + 27,700.