Lesson 4.3 Homework

Front

What is the equation of a line that is parallel to y = -3 and passes through the point (2,6)?

Back

y = 6

Front

Are the lines y = 4x + 2 and y = (-1/4)x + 12 perpendicular?

Back

YES

Front

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

Back

y = 3

Front

What is the equation of a line that is perpendicular to y = (1/2)x - 9 and passes through the point (7,10)?

Back

y = -2x + 24

Front

Are the lines passing through (0,5) and (4,-3) and the lines passing through (0,0) and (-3,-6) parallel?

Back

NO

Front

Define parallel lines in the context of coordinate geometry.

Back

Parallel lines are lines in a plane that never meet; they have the same slope.

Front

Define perpendicular lines in the context of coordinate geometry.

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees); the product of their slopes is -1.

Front

What is the slope of a line that is parallel to the line y = 3x + 2?

Back

The slope is 3.

Front

What is the slope of a line that is perpendicular to the line y = 2x + 5?

Back

The slope is -1/2.

Front

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

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.