Answer:
1. The slope of the line is -2
2. The y-intercept is 10
3. The equation in slope-intercept form is y = -2x + 10
Step-by-step explanation:
The slop-intercept form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
- The rule of the slope of the line using two points on the line (x1, y1) and (x2, y2) is m =
From the given table
∵ (2, 6) and (3, 4) are two points on the line
∴ x1 = 2 and y1 = 6
∴ x2 = 3 and y2 = 4
→ Substitute them in the rule of the slope above to find it
∵ m =
=
= -2
∴ m = -2
∴ The slope of the line is -2 ⇒ (1)
→ Substitute it in the form of the equation above
∴ y = -2x + b
→ To find b substitute x and y in the equation by the coordinates of
any point in the table
∵ (5, 0) is a point on the table
∴ x = 5 and y = 0
∵ 0 = -2(5) + b
∴ 0 = -10 + b
→ Add 10 to both sides
∵ 0 + 10 = -10 + 10 + b
∴ 10 = b
∴ The y-intercept is 10 ⇒ (2)
→ Substitute the value of b in the equation
∵ y = -2x + 10
∴ The equation in slope-intercept form is y = -2x + 10 ⇒ (3)
ANSWER
Lea can wash 4½ loads of laundry with the remaining detergent.
EXPLANATION
Quantity of detergent left

Quantity required to watch each load

Number of loads Lea can wash

We now simplify this by multiplying with the reciprocal
Number of loads Lea can wash




Therefore Lea can wash 4½ loads of laundry with the remaining detergent.
I believe it’s -12w+16x+20
To find the cost per one pound, we divide the total cost $222.50 by the total number of pounds (50 lb).
= $222.50 ÷ 50
= $4.45 per pound
ANSWER: Each pound of grass seed costs $4.45.
Hope this helps! :)