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

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

If the slope (m) is 2 and the y-intercept (b) is -3, what is the equation of the line?

Back

y = 2x - 3

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

The slope is 4.

Front

What is the y-intercept of the line given by the equation y = -5x + 2?

Back

The y-intercept is 2.

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

What is the slope of the line represented by the equation y = -3x + 7?

Back

The slope is -3.

Front

Write the slope-intercept form of a line with a slope of -1 and a y-intercept of 4.

Back

y = -1x + 4 or y = -x + 4.