<u>Answer:</u>
<u>y+1=-2(x-5)</u> - Point Slope Form
<u>y=-2x+9</u> - Slope Intercept Form
<u></u>
Step-by-step explanation:
We will be using point-slope formula, as attached in a picture below.
1) Plug in the slope -2 as "m" in point slope form, along with the two points, (5, -1)
<u>y+1=-2(x-5)</u>
2) Next, if you want to put the line into slope-intercept form, you will need to distribute -2 to x and -5:
y+1=-2x+10
3) Now, subtract 1 from both sides:
<u>y=-2x+9</u>
We know that x-axis represents weight of dog food in pounds
AND y-axis represents Total cost in dollars
AND a line connects (0,0) and (10,5)
Based on the information we can plot a graph that can be seen in the attached image. The line represents y =
Now, let's look at each of the statements to see which is true and which is false:
A) Point (0, 0) shows the cost is $0 for 0 pound of dog food.
(0,0) indicates that the cost for 0 pound dog food is $0. Hence, this statement is true.
B) Point (1, 0.5) shows the cost is $1.00 for 0.5 pound of dog food.
(1,0.5) indicates that the cost for 1 pound dog food is $0.5. Hence, this statement is false.
C) Point (2, 1) shows that 2 pounds of dog food cost $1.
(2,1) indicates that the cost for 2 pounds dog food is $1. Hence, this statement is true.
D) Point (4, 2) shows the cost is $4 for 2 pounds of dog food.
(4,2) indicates that the cost for 4 pounds dog food is $2. Hence, this is false.
E) Point (10, 5) shows that 10 pounds of dog food costs $5
(10,5) indicates the cost for 10 pounds dog food is $5. Hence, this is true.
