Slope Word Problems and Graphs

Front

What is the slope of the line with the equation \(y = -\frac{3}{2}x + 4\)?

Back

The slope is \(-\frac{3}{2}\).

Front

Write the equation that represents this word problem: Marsha gets a job that pays $15 per hour, and she started the week with $20.

Back

The equation is \(y = 15x + 20\).

Front

What is the equation for the situation? A holiday meal catered by Chipotle costs $12.50 a person plus a delivery fee of $30.

Back

The equation is \(y = 12.5x + 30\).

Front

What is the y-intercept shown on the graph?

Back

The y-intercept is (0, 3).

Front

Write the equation that represents this word problem: Nicholas received $100 for his birthday. He decides to spend $20 per day on whatever he wants.

Back

The equation is \(y = -20x + 100\).

Front

Define slope in the context of a graph.

Back

Slope is a measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope \(m\) is calculated as \(m = \frac{y2 - y1}{x2 - x1}\).

Front

What is the standard form of a linear equation?

Back

The standard form is \(Ax + By = C\), where A, B, and C are integers.

Front

What is the point-slope form of a linear equation?

Back

The point-slope form is \(y - y1 = m(x - x1)\), where \(m\) is the slope and \((x1, y1)\) is a point on the line.