Please Help with this math function problem
2 answers:
Answer:
slope: ; y-intercept: 1
Step-by-step explanation:
First, you must rearrange the function into y = mx + b form:
2x + x = 4(y - 1)
Simplify both sides:
3x = 4y - 4
Subtract 3x and 4y from both sides:
-4y = -3x - 4
Divide both sides by -4:
y = + 1
Now that it is in y = mx + b form, you can find the slope and y-intercept. In y = mx + b form, m is the slope and b is the y-intercept. Therefore:
m = = slope
b = 1 = y-intercept
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Answer:
The distance between the points is approximately 6.4
Step-by-step explanation:
The given coordinates of the points are;
(2, -2), and (6, 3)
The distance between two points, 'A', and 'B', on the coordinate plane given their coordinates, (x₁, y₁), and (x₂, y₂) can be found using following formula;
Substituting the known 'x', and 'y', values for the coordinates of the points, we have;
Therefore, the distance between the points, (2, -2), and (6, 3) = √(41) ≈ 6.4.
Answer:
The y-intercept is
The y-intercept represents the initial quantity of gas in the canister which is zero.
Step-by-step explanation:
The y-intercept is where the graph of the straight line touches the y-axis.
From the graph, the y-intercept is the origin (0,0).
Recall that the slope intercept form of a straight line is , where
is the y-intercept in this case.
Since the graph represents the amount of gasoline in a canister after Joshua begins to fill it at the gas station pump, the y-intercept means the initial gallons of gas in the canister is zero.