Respuesta :
Answer:
y = -3x + 142
Step-by-step explanation:
We can write the information given to us as ordered pairs, where x represents the number of seconds and y represents the amount of water in the can:
(5, 58) and (15, 28)
To write an equation in slope-intercept form, first we find the slope. The formula for slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using our points, we have
[tex]m=\frac{28-58}{15-5}=\frac{-30}{10}=-3[/tex]
We use point-slope form to write the initial equation:
[tex]y-y_1=m(x-x_1)[/tex]
Using our first point as (x₁, y₁), we have:
y-58 = -3(x-28)
Using the distributive property, we have
y-58 = -3(x)- -3(28)
y-58 = -3x+84
Adding 58 to each side, we have
y-58 + 58 = -3x+84+58
y = -3x + 142
Answer:
The equation of the line is y=-3x+72 . Below is the detailed explanation about the steps.
Step-by-step explanation:
Given:
After 5 seconds, your watering can contains 58 ounces of water.
After 15 seconds, it contains 28 ounces.
To find:
The equation of line in slope-intercept y=mx+b form.
Let's get the two points from given information which are (5, 58) and (15,28)
Use slope formula to find slope of the line.
Slope m =[tex]\frac{y2-y1}{x2-x1}[/tex]
Using the points,
m=[tex]\frac{28-58}{15-5}[/tex]
m=[tex]\frac{-30}{10}[/tex]
m=-3
Slope of the line is -3. Plugin this value into equation y=mx+b for 'm'
y=-3x+b
Use one of the point to find 'b'. Let's use (5,58)
Plug in this point into the y=-3x+b
58= -3(5) +b
58=-15+b
Add both sides 15.
72=b
So, equation of the line in slope intercept form is y= -3x+72.
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