Question

The slope of the line passing through P(1,4) and Q(x,1) is -3/5. What is the value of x?
Select one:
a. 6
b. 7
c. 9
d. 10

Answer 1

\[slope = \frac{ y _{2}-y _{1} }{ x _{2}-x _{1} } \rightarrow \frac{ 4-1 }{ 1-x }=\frac{ -3 }{ 5 }\] so solve for x
by either cross multiplying or by first multiplying both sides by 5 then by (1-x)
so 5(4-1) = -3(1-x)
5(3) = -3 + 3x
15 = -3 + 3x then add 3 on both sides
+3 +3
18 = 0 + 3x then divide both sides by 3 so
/3 /3
x = 18/3 which you can reduce down

Answer 2

6

Answer 3

yes :)