review for solutions of slope intercept

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 a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3, which is the point where the line crosses the y-axis.

Front

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

Back

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

Front

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

Back

The slope is -4.

Front

Convert the equation 3x + y = 12 to slope-intercept form.

Back

The slope-intercept form is y = -3x + 12.

Front

What does the term 'slope' represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

If m = 2 and b = -5, what is the equation of the line?

Back

The equation is y = 2x - 5.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.