Answer:
[tex]Slope = -1[/tex]
[tex]y = -2[/tex] --- y intercept
[tex]x = -2[/tex] ---- x intercept
[tex]y = -x - 2[/tex] --- equation
Step-by-step explanation:
Given
Represent temperature with y and time with x
When
[tex]y = 0F; x = 2hrs\ before\ sunsets[/tex]
[tex]y = -4F; x = 2hrs\ after\ sunset[/tex]
Solving Slope;
[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]Slope = \frac{-4 - 0}{2 - (-2)}[/tex]
[tex]Slope = \frac{-4 - 0}{2 +2}[/tex]
[tex]Slope = \frac{-4}{4}[/tex]
[tex]Slope = -1[/tex]
Using
[tex]Slope = \frac{y - y_1}{x - x_1}[/tex], we can get the equation
Where
[tex]Slope = -1[/tex]
[tex]x_1 = -2[/tex]
[tex]y_1 = 0[/tex]
This gives:
[tex]-1 = \frac{y - 0}{x -(-2)}[/tex]
[tex]-1 = \frac{y}{x +2}[/tex]
Cross multiply
[tex]y = -x - 2[/tex]
Take x as 0; to solve the y intercept
[tex]y = -0 - 2[/tex]
[tex]y = -2[/tex]
Take y as 0; to solve the x intercept
[tex]0 = -x -2[/tex]
[tex]x = -2[/tex]
Answer:Answer:
--- y intercept
---- x intercept
--- equation
Step-by-step explanation:
Given
Represent temperature with y and time with x
When
Solving Slope;
Using
, we can get the equation
Where
This gives:
Cross multiply
Take x as 0; to solve the y intercept
Take y as 0; to solve the x intercept
Step-by-step explanation:
