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 is the slope and b is the y-intercept.

Front

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

Back

In the equation y = mx + b, the slope is represented by the coefficient m.

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 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.

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 the line represented by the equation y = 5?

Back

The slope of the line represented by the equation y = 5 is 0, indicating a horizontal line.

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.

Front

What does it mean if two lines have the same slope?

Back

If two lines have the same slope, they are parallel and will never intersect.