We need to find the value of $y$ when the points $(6,y)$ and $(10,-1)$ lie on a line with a given slope.
Recall that the slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula $m = \dfrac{y_2 - y_1}{x_2 - x_1}$.
In this case, the slope is given as $m$ (not defined in the question), so we have the equation: $$m = \dfrac{-1 - y}{10 - 6}$$ Simplifying this equation gives: $$m = \dfrac{-1 - y}{4} \implies -4m = -1 - y \implies y = -1 + 4m$$ Thus, the value of $y$ is $-1 + 4m$. However, since the value of $m$ is not given in the question, we cannot determine the value of $y$ exactly. Therefore, the value of $y$ could be any real number, depending on the value of $m$. So, none of the provided answer choices ($-5$, $-2$, $2$, $5$) are correct.
The pair of points (6, y) and (10, –1) lie on a line with slope . What is the value of y? (1 point) Responses –5 –5 –2 –2 2 2 5
3 answers
redo
Apologies for the confusion. Let's redo the problem.
We are given two points on a line: $(6, y)$ and $(10, -1)$. We are also given that the slope of the line is undefined.
The slope of a line is defined as the change in $y$ divided by the change in $x$ between two points. In this case, since the slope is undefined, the line must be vertical. That means the change in $x$ is 0.
To find the value of $y$, we can look at the $y$-coordinates of the given points. Notice that when $x$ is 6, the $y$-coordinate is $y$, and when $x$ is 10, the $y$-coordinate is $-1$.
Therefore, we can conclude that $y = -1$.
Hence, the value of $y$ is $\boxed{-1}$.
We are given two points on a line: $(6, y)$ and $(10, -1)$. We are also given that the slope of the line is undefined.
The slope of a line is defined as the change in $y$ divided by the change in $x$ between two points. In this case, since the slope is undefined, the line must be vertical. That means the change in $x$ is 0.
To find the value of $y$, we can look at the $y$-coordinates of the given points. Notice that when $x$ is 6, the $y$-coordinate is $y$, and when $x$ is 10, the $y$-coordinate is $-1$.
Therefore, we can conclude that $y = -1$.
Hence, the value of $y$ is $\boxed{-1}$.
4 answers