Question

What is the solution to the equation ?5.In the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5). Which of the following is an equation of the line?A. y = 1 x + 3 21 x + 3 (x + 1) − 1 = 5 22

Answer 1

Given the equation

`(1)/(2)x+(3)/(2)(x+1)-(1)/(4)=5`

Open the brackets.

`\begin{gathered} (1)/(2)x+(3)/(2)x+(3)/(2)-(1)/(4)=5 \\ (1)/(2)x+(3)/(2)x+(6)/(4)-(1)/(4)=5 \end{gathered}`

Add the similar components.

`\begin{gathered} (4)/(2)x+(6-1)/(4)=5 \\ 2x+(5)/(4)=5 \\ 2x=5-(5)/(4) \\ =(15)/(4) \end{gathered}`

Divide by to find the value of x.

`\begin{gathered} x=((15)/(4))/(2) \\ =(15)/(8) \end{gathered}`