Equation in slope-intercept form is y = 2x - 6
Step-by-step explanation:
- Step 1: Given slope of the line, m = 2. Form an equation y = mx + b
⇒ y = 2x + b ---- (1)
- Step 2: The line passes through the point (4,2). So it will satisfy the equation. Find b by substituting x = 4 and y = 2.
⇒ 2 = 2 × 4 + b = 8 + b
⇒ b = -6
- Step 3: Form the slope-intercept equation.
⇒ y = 2x - 6
Answer:
set mary is x years old, and helen is y years old.
first sentence:x=2y
second one:4(y-8)=x+4
bring x=2y in 4(y-8)=x+4
=>4y-32=2y+4
=>2y=36
=>y=18
=>x=36
mary:36
helen:18
Answer:
Explanation: The words "more than" in mathematical terms refer to the process of addition. In this case, we need to have 8 more than x , or x+8 . Hence, the answer, x+8
Five 3 lb bags (5 x 3 = 15 lbs) for 8.79 per bag (5 * 8.79 = 43.95)
two 5 lb bags (2 x 5 = 10 lbs) for 13.90 per bag (2 * 13.90 = 27.80)
average cost per lb : (43.95 + 27.80) / (15 + 10) = 71.75 / 25 = 2.87
so the average cost per lb is $ 2.87
