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

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

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 the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line descends from left to right.

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 = 3x + 5?

Back

The slope of the line is 3.

Front

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

Back

The y-intercept of the line is 4.

Front

How do you graph a line given its slope and y-intercept?

Back

Start at the y-intercept on the y-axis, then use the slope to determine the rise over run to find another point.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change between two variables in real-world contexts.

Front

How do you find the equation of a line given two points?

Back

Use the formula for slope (m = (y2 - y1) / (x2 - x1)) to find the slope, then use point-slope form to write the equation.