Slope-Intercept Form Review

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, indicating where the line crosses the y-axis.

Front

If a line has a slope of 4, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 4 units.

Front

How do you identify the slope from the equation y = 6x + 25?

Back

The slope is the coefficient of x, which is 6.

Front

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

Back

The slope is -3.

Front

How can you determine the y-intercept from the equation y = 1/2x - 4?

Back

The y-intercept is -4, which is the constant term in the equation.

Front

What is the slope of the line represented by the equation y = 0x + 5?

Back

The slope is 0, indicating a horizontal line.

Front

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

Back

It indicates that the line descends from left to right.

Front

What is the equation of a line with a slope of 3 and a y-intercept of -2?

Back

The equation is y = 3x - 2.