04.02 Slope - Geometry

The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2)? y = 1/2 x + 3/2 y = - 1/2 x + 3/2 y = 1/2 x − 3/2 y = - 1/2 x − 3/2

y = 1/2 x − 3/2

The equation of line AB is y = 2x + 4. What is the equation of a line parallel to line AB in slope-intercept form that contains the point (3, −2)? y = 2x − 4 y = 1/2 x − 1/2 y = - 1/2 x − 7/2 y = 2x − 8

y = 2x − 8

Which statement explains how the lines 2x + y = 4 and y = 1/2 x + 4 are related? They are parallel. They are perpendicular. They are the same line. They are not related.

They are perpendicular.

Rectangle TUVW is on a coordinate plane at T (a, b), U (a + 2, b + 2), V (a + 5, b − 1), and W (a + 3, b − 3). What is the slope of the line that is parallel to the line that contains side TU? 1 -1 2 -2

1

Square EFGH is drawn on a coordinate plane. Diagonal FH is on the line y − 3 = -1/3(x + 9). What is the slope of the diagonal GE? -1/3 1/3 -3 3

3

What is the y-intercept of the line perpendicular to the line y = 3/4 x + 3 that includes the point (3, 1)? -5/4 3 -13/4 5

5