Slope-Intercept Form

Front

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

Back

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

Front

How do you identify the slope in the equation y = 2x - 5?

Back

In the equation y = 2x - 5, the slope (m) is 2.

Front

What does the y-intercept represent in the slope-intercept form?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line is decreasing; for every 1 unit increase in x, y decreases by 3 units.

Front

How can you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope of the line is -1/2.

Front

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

Back

The y-intercept is the value of y when x = 0; in this case, it is 2.

Front

What is the significance of a slope of 0 in a linear equation?

Back

A slope of 0 indicates a horizontal line, meaning that y remains constant regardless of the value of x.

Front

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

Back

To graph a line in slope-intercept form, start at the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run.

Front

What is the equation of a line with a slope of 1 and a y-intercept of -4?

Back

The equation of the line is y = x - 4.