Graphing Inequalities

Front

What are the slopes of parallel lines?

Back

Identical

Front

Write the equation of the line with slope 3/5 that passes through the y-intercept at -1.

Back

y=(3/5)x-1

Front

Write the point-slope form of the line that passes through (4, -7) with slope -1/4.

Back

y + 7 = -1/4(x - 4)

Front

Which point is NOT part of the solution set for the inequality? (0, 0), (-10, -10), (-1, 5), (5, 20)

Back

(-10, -10)

Front

Find the slope of the line that passes through (10, 1) and (5, 2).

Back

-1/5

Front

What is the definition of a slope in a linear equation?

Back

The slope is the ratio of the rise (change in y) over the run (change in x) between two points on a line.

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if their slopes are identical.

Front

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

Back

y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

What does it mean for a point to be part of the solution set of an inequality?

Back

It means that the point satisfies the inequality when substituted into the equation.

Front

How do you convert from point-slope form to slope-intercept form?

Back

Solve for y to isolate it on one side of the equation.