Are the lines y = –x – 2 and 4x – 4y = 16 perpendicular? explain.
a.
no, their slopes are not opposite reciprocals.
b.
yes, their slopes have a product of –1.
c.
no, their slopes are not equal.
d.
yes, their slopes are equal.

Aline has a slope of 1/4 and passes through point (0.4,-1/2). what is the value of the y-intercept?

Arianna is buying plants for her garden. she buys 15 flowering plants for $96. pink flowering plants sell for $8, and purple flowering plants sell for $5. how many pink flowering plants did arianna buy? i figured out the answer! the answer is 7. 8x +5y = 96 plug in 7 for x 8 (7) + 5y = 96 56 + 5y = 96 subtract 56 from both sides 5y/y = 40/5 y = 8 she bought 7 pink and 8 purple plants

The linear combination method is applied to a system of equations as shown. 4(.25x + .5y = 3.75) → x + 2y = 15 (4x – 8y = 12) → x – 2y = 3 2x = 18 what is the solution of the system of equations? (1,2) (3,9) (5,5) (9,3)