4.2 Day 2 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

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

Back

The slope is the coefficient of x, which is 2/3.

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

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

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

Back

The slope is -1.

Front

How do you convert the equation y = 4x + 3 into slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b.

Front

What is the graph of the equation y = -3?

Back

The graph is a horizontal line that crosses the y-axis at -3.

Front

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

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

If the slope of a line is -3, what does that mean in terms of rise over run?

Back

It means that for every 3 units the line goes down (rise), it goes 1 unit to the right (run).