Question

Please help me with this question so I can better explain to my son I have included a picGraph 7x+y=10x-4. Show your work and explain the method used to determine the graph.Answer:

Answer 1

Given the equation

`7x+y=10x-4`

Solve it for y as shown below

`\begin{gathered} \Rightarrow-7x+7x+y=-7x+10x-4 \\ \Rightarrow y=3x-4 \end{gathered}`

This equation represents a line on the plane, and such is defined by two points on the plane and a line that crosses them.

Obtaining two points:

`\begin{gathered} x=0 \\ \Rightarrow y=3\cdot0-4=-4 \\ \Rightarrow(0,-4) \\ \text{and} \\ x=1 \\ \Rightarrow y=3\cdot1-4=-1 \\ \Rightarrow(1,-1) \end{gathered}`

Draw (0,-4) and (1,-1) on the plane and cross them using a straight line, as in the image below.

Where A=(0,-4) and B=(1,-1)