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 represents the slope and b represents 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 of x.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value b in the slope-intercept form y = mx + b.

Front

If a line has a slope of 2/3, what does this indicate about its steepness?

Back

A slope of 2/3 indicates that for every 3 units moved horizontally to the right, the line rises 2 units vertically, showing a moderate upward steepness.

Front

How would you write the equation of a line with a slope of -1 and a y-intercept of 4?

Back

The equation would be y = -1x + 4 or y = -x + 4.

Front

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

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant of the line.

Front

How can you convert the equation y = 3x - 5 into slope-intercept form?

Back

The equation y = 3x - 5 is already in slope-intercept form, where the slope is 3 and the y-intercept is -5.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no vertical change as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because it does not have a defined rise over run.

Front

How do you find the y-intercept from a linear equation in standard form?

Back

To find the y-intercept from a linear equation in standard form Ax + By = C, set x = 0 and solve for y.