Writing Equations in Slope-Intercept Form

Front

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

Back

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

Front

What does the slope (m) represent in the slope-intercept form?

Back

The slope (m) 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 the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

How do you identify the slope from the equation y = 3x + 2?

Back

The slope is 3, which means for every 1 unit increase in x, y increases by 3 units.

Front

How do you identify the y-intercept from the equation y = -2x + 5?

Back

The y-intercept is 5, meaning the line crosses the y-axis at the point (0, 5).

Front

Convert the equation y = 4x - 1 into slope-intercept form.

Back

The equation is already in slope-intercept form: y = 4x - 1.

Front

What is the slope of the line represented by the equation y = -x + 7?

Back

The slope is -1, indicating the line decreases as x increases.

Front

If a line has a slope of 2 and a y-intercept of -3, what is its equation in slope-intercept form?

Back

The equation is y = 2x - 3.

Front

How do you write the equation of a line with a slope of 1/2 and a y-intercept of 4?

Back

The equation is y = (1/2)x + 4.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.