Answer:
y = -1/2x + 9
Step-by-step explanation:
(0, 9) and (8, 5)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(5 - 9) / (8 - 0)
Simplify the parentheses.
= (-4) / (8)
Simplify the fraction.
-4/8
= -1/2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (8, 5). Plug in the x and y values into the x and y of the standard equation.
5 = -1/2(8) + b
To find b, multiply the slope and the input of x(8)
5 = -4 + b
Now, add 4 to both sides to isolate b.
9 = b
Plug this into your standard equation.
y = -1/2x + 9
This is your equation.
Check this by plugging in the other point you have not checked yet (0, 9).
y = -1/2x + 9
9 = -1/2(0) + 9
9 = 0 + 9
9 = 9
Your equation is correct.
Hope this helps!
<span>The x-coordinate is −1−1 , the y-coordinate is −2−2 , and the point lies in the third quadrant.</span>
I believe it would be 5/12
Answer:
dimensions: 4x5x3
volume: 60 cube inches
Step-by-step explanation:
assuming each cube is a one inch cube:
the dimensions of the prism are length 5 -inches, width 4 -inches and height 3 -inches. So, 4x5x3
the volume of a prism is the length x width x height, so the volume is 4x5x3 = 60 inches cubed.
