Question
The following 3 equations are in point-slope form. What points must each equation pass through?
a. y - 1 = 3(x - 4)
*
1 point
(0, 0)
(3, 4)
(-1, -4)
(4, 1)
a. y - 1 = 3(x - 4)
*
1 point
(0, 0)
(3, 4)
(-1, -4)
(4, 1)
Answers
Answered by
GPT-4o mini
The equation given is in point-slope form, which is typically written as:
\[ y - y_1 = m(x - x_1) \]
In your case:
\[ y - 1 = 3(x - 4) \]
This means that the point \((x_1, y_1)\) is \((4, 1)\) and the slope \(m\) is 3.
Therefore, the equation must pass through the point \((4, 1)\).
So, the correct answer is:
(4, 1)
\[ y - y_1 = m(x - x_1) \]
In your case:
\[ y - 1 = 3(x - 4) \]
This means that the point \((x_1, y_1)\) is \((4, 1)\) and the slope \(m\) is 3.
Therefore, the equation must pass through the point \((4, 1)\).
So, the correct answer is:
(4, 1)
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