Slope intercept form - Graphs

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 from the slope-intercept form?

Back

In the slope-intercept form y = mx + b, the slope is represented by the coefficient m.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How can you find the y-intercept from an equation in slope-intercept form?

Back

To find the y-intercept from the equation y = mx + b, simply identify the value of b.

Front

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

Back

The slope of the line is 2.

Front

If a line has a slope of -1/3, what does this indicate about its direction?

Back

A slope of -1/3 indicates that the line descends from left to right.

Front

How do 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, solve for y to isolate it on one side of the equation.

Front

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

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

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

Back

The slope of the line is -2/4, which simplifies to -1/2.

Front

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

Back

To graph a line using the slope-intercept form, start at the y-intercept (0, b) and use the slope (rise/run) to find another point.