Slope Intercept: Word Problems

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

The y-intercept is the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

Write the equation of a line with a slope of 3 and a y-intercept of -5.

Back

y = 3x - 5

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

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

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 5x + 2?

Back

The slope (m) is 5.

Front

What is the y-intercept of the line represented by the equation y = -3x + 4?

Back

The y-intercept (b) is 4.

Front

Write the equation that represents this word problem: 'A car rental company charges a flat fee of $50 plus $20 per day.'

Back

y = 20x + 50

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is 2.