42.5k views
2 votes
Amy began with ​$30 in bank account and spent ​$5 each day. The line models the amount of money in bank account. She incorrectly wrote an equation for the line in​ slope-intercept form as y=-5x+6. What is the correct equation for the line in​ slope-intercept form? What mistake Amy might have​ made?

2 Answers

5 votes

Answer:

Explanation:

The correct equation for the line in slope-intercept form is y = 5x - 30. In this equation, the y-intercept (the point where the line crosses the y-axis) is -30, which is the starting amount of money in Amy's bank account. The slope of the line is 5, which represents the amount of money that Amy spends each day.

It is likely that Amy made a mistake when solving for the y-intercept and slope of the line. In slope-intercept form, the equation of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept. To solve for these values, Amy probably forgot to reverse the signs of the coefficients of x and y in her original equation, y = -5x + 6. This resulted in the incorrect equation y = -5x + 6, which has a slope of -5 and a y-intercept of 6.

User Gavin Brock
by
4.3k points
4 votes

Answer:

y = -5x + 30

Explanation:

Amy made the 5 positive, and divivded the 30 by 5

User Matt Godbolt
by
5.1k points