Writing Equations in 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

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you determine if a slope is positive, negative, zero, or undefined?

Back

A positive slope rises from left to right, a negative slope falls from left to right, a zero slope is a horizontal line, and an undefined slope is a vertical line.

Front

If a line has a slope of 7/5, what does this indicate about the line's steepness?

Back

A slope of 7/5 indicates that for every 5 units moved horizontally to the right, the line rises 7 units vertically, making it relatively steep.

Front

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

Back

The y-intercept is 3, which is the value of y when x = 0.

Front

How can 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 is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

If the equation of a line is y = -1/2x + 4, what is the slope?

Back

The slope is -1/2.