Question

Graph the following 3x + 4y = 10

Answer 1

Given

`3x+4y=10`

The equation represents a line on the plane. In general, any line on the plane is determined by two points on it; therefore, we need two find two points that satisfy the given equation, draw them on the plane and cross them using a straight line.

`\begin{gathered} x=0 \\ \Rightarrow4y=10 \\ \Rightarrow y=(10)/(4)=(5)/(2) \\ \Rightarrow(0,(5)/(2)) \\ x=2 \\ \Rightarrow3\cdot2+4y=10 \\ \Rightarrow6+4y=10 \\ \Rightarrow4y=4 \\ \Rightarrow y=1 \\ \Rightarrow(2,1) \end{gathered}`

Plot (0,5/2), (2,1) and cross them using a line, as shown below