Question

11.) Tell whether the slope from A to B is parallel, perpendicular, or neither to the slope from C to D. Be sure to show the slope for both in your answer. (Be sure to show all your work.)
A (-8, 3), B (-4, 11), C (-1, 3), D (1, 2).

12.) Write an equation of the line in slope-intercept form with slope 2, passing through (4, -1). (Be sure to show all your work.)

14.) What is an equation of the line perpendicular to y = -4x + 1 that contains (2, -3)? (Be sure to show all your work.)

Answer 1

15.) Write an equation of a vertical line passing through (-1, 3). (Be sure to show all your work.)

Answer 2

think about the definition of the dot product and what it's value (using unit vectors) tells you

Answer 3

for 15, if y is infinite and x=-1, whats the equation of the line?

Answer 4

im so confused

Answer 5

do you know how to find the two vectors these make?

Answer 6

or you can compare the slopes

Answer 7

im sorry i don't /:

Answer 8

for example, the first one has slopes:
AB: slope = -2
CD: slope = 1/2

think about the angle between these lines

Answer 9

the general rule is perpendicular lines are negative reciprocals and parallel lines have the same slope ofc