slope intercept form

Front

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

Back

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

Front

What does the slope represent in a linear equation?

Back

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

Front

How do you identify the slope from the equation y = 2x + 3?

Back

The slope is 2, which is the coefficient of x.

Front

What is the y-intercept in the equation y = -3x + 5?

Back

The y-intercept is 5, which is the constant term.

Front

If a line has a slope of 1/2, what does this mean?

Back

For every 2 units you move to the right on the x-axis, you move up 1 unit on the y-axis.

Front

How do you write the equation of a line with a slope of -4 and a y-intercept of 2?

Back

The equation is y = -4x + 2.

Front

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

Back

The slope is 3.

Front

If the slope of a line is negative, what does this indicate about the line's direction?

Back

The line descends from left to right.

Front

How can you find the slope between two points (2, 3) and (4, 7)?

Back

Use the formula: slope = (y2 - y1) / (x2 - x1) = (7 - 3) / (4 - 2) = 2.

Front

What is the equation of a line with a slope of 0?

Back

The equation is y = b, where b is the y-intercept, indicating a horizontal line.