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

$\frac{1}{2}x+\frac{3}{2}(x+1)-\frac{1}{4}=5$

Open the brackets.

$\begin{gathered} \frac{1}{2}x+\frac{3}{2}x+\frac{3}{2}-\frac{1}{4}=5 \\ \frac{1}{2}x+\frac{3}{2}x+\frac{6}{4}-\frac{1}{4}=5 \end{gathered}$

Add the similar components.

$\begin{gathered} \frac{4}{2}x+\frac{6-1}{4}=5 \\ 2x+\frac{5}{4}=5 \\ 2x=5-\frac{5}{4} \\ =\frac{15}{4} \end{gathered}$

Divide by to find the value of x.

$\begin{gathered} x=\frac{\frac{15}{4}}{2} \\ =\frac{15}{8} \end{gathered}$