Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

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

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that rises 3 units for every 1 unit it runs to the right?

Back

The slope of the line is 3, which can be expressed as 3/1.

Front

Write the equation of a line with a slope of -2 and a y-intercept of 4.

Back

The equation of the line is y = -2x + 4.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

How can you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

To convert to slope-intercept form, solve for y: 3y = -2x + 6, then y = -2/3x + 2.

Front

What is the y-intercept of the line represented by the equation y = 5x - 7?

Back

The y-intercept of the line is -7.