QuestionLinear Functions Use the given information to write a function.
9. A line passes through the points $(5,4)$ and $(-3,3)$ .
10. A line passes through the points $(-4,2)$ and $(1,-3)$ .
11. A line passes through the points $(1,5)$ and $(-5,3)$ .
Equations (Math 7/8 Review) Solve each equation and properly check your solution, if possible.
12. $-4(3 x+7)-6 x=-19$
13. $(3 x)^{2}-10=134$
14. $5 x-9-(x+7)=\frac{1}{2} x+19$

Studdy Solution
Solve the equation $5x - 9 - (x + 7) = \frac{1}{2}x + 19$ .
Distribute the negative sign:
$5x - 9 - x - 7 = \frac{1}{2}x + 19$
Combine like terms:
$4x - 16 = \frac{1}{2}x + 19$
Subtract $\frac{1}{2}x$ from both sides:
$\frac{7}{2}x - 16 = 19$
Add 16 to both sides:
$\frac{7}{2}x = 35$
Multiply by $\frac{2}{7}$ :
$x = 10$

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