Writing equations in slope-intercept form

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 identify the slope from the equation y = 2/3x - 3?

Back

The slope is the coefficient of x, which is 2/3.

Front

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

Back

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

Front

Given the slope 5/2 and the y-intercept -22, write the equation of the line.

Back

y = 5/2x - 22.

Front

What is the y-intercept of the equation y = 3x + 5?

Back

The y-intercept is 5.

Front

If a line has a slope of 4 and passes through the point (-2, 5), what is the equation of the line?

Back

y = 4x + 13.

Front

How do you convert the slope and y-intercept into an equation?

Back

Use the formula y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What is the slope of the line represented by the equation y = -2/3x + 4?

Back

The slope is -2/3.

Front

If the slope is 3 and the y-intercept is 5, what is the equation of the line?

Back

y = 3x + 5.

Front

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

Back

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.