A line with a slope of $\frac{1}{2}$ passes through the points $(-1, s)$ and $(-3,7)$. What is the value of $s ?$
\[
s=
\]

Answer

Expert–verified

Hide Steps

Answer

Final Answer: $s = \boxed{8}$

Steps

Step 1 ：The slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula $\frac{y_2 - y_1}{x_2 - x_1}$. We know the slope is $\frac{1}{2}$, and we know one point is $(-3,7)$ and the other is $(-1, s)$. We can substitute these values into the formula and solve for $s$.

Step 2 ：Substitute the given values into the slope formula: $\frac{1}{2} = \frac{s - 7}{-1 - (-3)}$

Step 3 ：Solve the equation for $s$, we get $s = 8$

Step 4 ：Final Answer: $s = \boxed{8}$

A line with a slope of $\frac{1}{2}$ passes through the points $(-1, s)$ and $(-3,7)$. What is the value of $s ?$\[s=\]

Answer

Popular Problems

A line with a slope of $\frac{1}{2}$ passes through the points $(-1, s)$ and $(-3,7)$. What is the value of $s ?$
\[
s=
\]