Slope Intercept Form Flashcard

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

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0; it is where the line crosses the y-axis.

Front

If a line has a slope of -3/2, what does this indicate about its direction?

Back

A slope of -3/2 indicates that the line descends from left to right.

Front

How do you graph a line using the slope-intercept form?

Back

Start by plotting the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.

Front

What is the equation of a line with a slope of 4 and a y-intercept of 2?

Back

The equation is y = 4x + 2.

Front

What is the slope of the line represented by the equation y = -2x + 3?

Back

The slope is -2.

Front

How do you determine the slope from a graph?

Back

Choose two points on the line, calculate the rise (change in y) and run (change in x), then divide rise by run.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.