8.4C: Slope and Y-Intercept

Front

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

Back

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

Front

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

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

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

Back

In the equation y = mx + b, 'b' represents the y-intercept of the line.

Front

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

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

If a line has a slope of 3/2, what does this indicate about the line's steepness?

Back

A slope of 3/2 indicates that for every 2 units moved horizontally to the right, the line rises 3 units vertically, making it relatively steep.

Front

How can you determine the y-intercept from the equation y = 15x - 80?

Back

The y-intercept can be determined by setting x = 0. In this case, y = -80.

Front

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

Back

The slope of the line represented by the equation y = -3x - 3 is -3.

Front

How do you convert the equation y = 15x - 80 into standard form?

Back

To convert to standard form, rearrange to get 15x - y = 80.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.