Question

read the instructions first and answer the questions​

Answer 1

Step-by-step explanation:

Equation:y=5x+10

1.It is easy to plot the points on the Cartesian plane to get the graph of the given linear equation.

2.There are many methods to draw the graph of a linear equation.

I used the intercepts of x and y and writting the points to plot the points on the Cartesian plane.

Answer 2

$\huge \orange{AηsωeR}✍$

$\begin{gathered}\begin{gathered}\bf{\underline{\underline{Given :-}}}\end{gathered}\end{gathered}$

• The rent of the bike be 15 Php
• The additional charge is 5 Php every hour.

$\begin{gathered}\begin{gathered}\bf{\underline{\underline{To Find :-}}}\end{gathered}\end{gathered}$

• The above situation as a equation.
• Sketch the graph of the equation.

$\begin{gathered}\Large{\bold{\pink{\underline{CaLcUlAtIoN\::}}}} \end{gathered}$

$\begin{gathered}\begin{gathered}\bf Let = \begin{cases} &\sf{ \: the \: total \: cost \: of \: the \: trip \: be \: 'y' Php} \\ &\sf{the \: total \: number \: of \: hours \: be \: 'x' \: hours.} \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\bf\red{According\:to\:the\:situation,} \end{gathered}</p><p>$

$\bf \:  ⟼ y = 15 + 5x$

☆ Let us find few points on the above line to plot the graph.

$\begin{gathered}\boxed{\begin{array}{c|c|c|c|c|c}\bf x&\sf 0&\sf 1&\sf 2 &\sf 3&\sf 4\\\frac{\qquad \quad \qquad}{}&\frac{\quad \qquad \qquad}{}&\frac{\qquad \quad\qquad}{}&\frac{\qquad \quad \qquad}{}&\frac{\quad \qquad \qquad}{}&\frac{\qquad \quad\qquad}{}\\\bf y&\sf 15&\sf 20&\sf 25&\sf 30&\sf 35\end{array}}\end{gathered}$

☆ Plot these points on graph paper, we get

● (Please find the attachment)

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Question Answers :-

$\bf \:\large \red{AηsωeR : 1.} ✍$

Thought while solving this problem is how to use linear equation concept to solve such situation.

Feeling, to learn more the concept of linear equations to apply its applications in real life.

$\bf \:\large \red{AηsωeR : 2.} ✍$

The graph of a linear equation in two variables is a line.

As we know the linear equation, I can graph it by finding few solutions satisfy the equation.

Then, plotting these points, and draw the line connecting them.