Question

How do you graph \[x+5y=10\] using intercepts?

Answer 1

Hint: In order to graph the given equation, we have to first find the intercepts made by the line of the given equation with both the axis. To find the x intercept, put y=0 and similarly to find y intercept put x=0. With this we will get two sets of coordinates. To get the graph of the equation, draw a line passing through the points.

Complete step by step answer:
In the given question, the equation which we have to graph is \[3x+5y=10\] . Let us first see what is slope and intercept. Slope is defined as the gradient of the line. In simple terms we can say the tangent of the angle made by the line with x-axis. It is just the change of over the change of . On the other hand, the intercept is the point where the line crosses the - axis. The distance from that intersection point to the origin is the value of intercept.
Now the given equation is \[x+5y=10\] . let us find the x and y intercepts made by the line.
To find y intercept, put x=0
\[x+5y=10\] when \[x=0\]
We get,
\[\begin{align}
  & x=0 \\
 & 5y=10 \\
 & y=2 \\
\end{align}\]
\[(0,2)\]
To find x intercept, put y=0
\[x+5y=10\] when \[y=0\]
 We get,
  \[\begin{align}
  & x=10 \\
 & (10,0) \\
\end{align}\]
Thus, the coordinates from which line passes is \[(0,2)\] and \[(10,0)\] . Draw a line passing through these two points.

Hence the above graph is for the given equation.

Note: While plotting the graph mark the coordinates carefully. The intercept formed by the line with x axis is 10 and the intercept formed by the line with y axis is 2. Write the equation just above the line drawn. Mark both the axes on the graph.