Algebra 1 warm up 12/17 & 12/18

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 find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

Given the line equation y = 2x + 3, what is the slope?

Back

The slope is 2.

Front

What is the y-intercept of the line y = -3x + 4?

Back

The y-intercept is 4.

Front

Convert the equation 2x + 3y = 6 into slope-intercept form.

Back

The slope-intercept form is y = -2/3x + 2.

Front

What is the equation of a line that is parallel to y = 5x - 1 and passes through the point (1, 2)?

Back

The equation is y = 5x - 3.

Front

What is the equation of a line that is perpendicular to y = -2x + 5 and passes through the point (3, 1)?

Back

The equation is y = rac{1}{2}x - rac{1}{2}.

Front

If a line has a slope of 0, what can you say about the line?

Back

The line is horizontal.