3-4 Flashcard - Equations of Lines

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 = 1/2 x + 2?

Back

The slope is 1/2.

Front

What does the y-intercept represent in the equation of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

Given the equation y = -3x + 1, what is the slope?

Back

The slope is -3.

Front

What is the y-intercept of the line represented by the equation y = 5x?

Back

The y-intercept is 0.

Front

How can you determine the equation of a line from its slope and y-intercept?

Back

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

Front

What is the equation of a line with a slope of 2 and a y-intercept of -4?

Back

The equation is y = 2x - 4.

Front

If a line has a slope of 0, what type of line is it?

Back

It is a horizontal line.

Front

What is the slope of a line that goes through the points (2, 3) and (4, 7)?

Back

The slope is 2.

Front

How do you convert the equation y = 2x + 3 to standard form?

Back

The standard form is 2x - y = -3.