P F Test 3 -- Linear Equations

Front

What is the slope of a line that is perpendicular to a line with a slope of 2?

Back

The slope of a line that is perpendicular to a line with a slope of 2 is -1/2.

Front

What is the equation of a vertical line that passes through the point (-10, 5)?

Back

The equation of a vertical line that passes through (-10, 5) is x = -10.

Front

How do you find the slope of a line given its equation in standard form (Ax + By = C)?

Back

To find the slope of a line in standard form, rearrange the equation into slope-intercept form (y = mx + b) where m is the slope.

Front

What is the equation of a line with a slope of 0?

Back

The equation of a line with a slope of 0 is of the form y = b, where b is the y-coordinate of any point on the line.

Front

How do you determine the y-intercept of a line given its slope and a point on the line?

Back

Use the point-slope form of the equation (y - y1 = m(x - x1)) to find the y-intercept.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

Front

How do you convert the equation of a line from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of the line represented by the equation y = -4x + 3?

Back

The slope of the line represented by the equation y = -4x + 3 is -4.

Front

What is the equation of a line that passes through the point (3, -3) and is perpendicular to the line 4x + 2y = 19?

Back

The equation of the line is x - 2y = 9.

Front

How do you find the equation of a line given a point and a slope?

Back

Use the point-slope form of the equation: y - y1 = m(x - x1).