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 the equation y = mx + b?

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 the equation y = mx + b?

Back

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

Front

How do you find the slope from 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 y-intercept of the line represented by the equation y = 2x + 5?

Back

The y-intercept is 5.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line descends from left to right.

Front

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

Back

The equation is y = 2x - 4.

Front

What is the slope of the line represented by the equation y = -1/2x + 3?

Back

The slope is -1/2.

Front

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

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.