A diver’s elevation is −30 feet relative to sea level. She dives down 12 feet. What is her elevation after the dive
2 answers:
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Answer:
Step-by-step explanation:
We will first need to determine the slope of the line shown.
We know that it passes through the two points (-2, -2) and (1, 4).
Thus, we can use the slope formula to find the slope between the two points:
Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:
Hence, the slope of the original line was 2.
Since we want the new line to be parallel, the slope of the new line must also be 2.
We know that the slope is 2 and it passes through the point (2, 7).
So, we can use the point-slope form:
We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:
Solve for y. Distribute the right:
Add 7 to both sides. Hence, our equation is:
Answer:
y = 6
Step-by-step explanation:
Let the y-intercept form of the equation of the line is,
y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the line passing through two points and
is given by,
m =
Slope of the passing through (0, 6) and (5, 6) will be,
m =
m = 0
Equation of the line with m = 0 will be,
y = 0 + b
y = b
Since, line passes through (0, 6),
By substituting the values in the equation,
b = 6
Therefore, standard equation of the line passing through (0, 6) and (5, 6) will be,
y = 6