3.8 Graphing Practice

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 = -2x + 4?

Back

The slope (m) is -2.

Front

What does the y-intercept represent in the equation y = 5x - 3?

Back

The y-intercept is -3, which is the point where the line crosses the y-axis.

Front

What is the equation of a line with a slope of 1/3 and a y-intercept of -3?

Back

The equation is y = (1/3)x - 3.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the equation of a line that passes through the point (0, 3) with a slope of -4/5?

Back

The equation is y = (-4/5)x + 3.

Front

What does a negative slope indicate about a line?

Back

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

Front

How do you convert the equation y = 1/5x + 3 into standard form?

Back

Multiply by 5 to get 5y = x + 15, then rearrange to standard form: x - 5y + 15 = 0.

Front

What is the significance of the point (0, b) in the slope-intercept form?

Back

The point (0, b) represents the y-intercept of the line.

Front

If a line has an equation y = -5x - 3, what is its slope?

Back

The slope is -5.