Question

The graph of the linear equation 5x + 3y = 21 cuts the y axes at the point?​

Answer 1

$\underline\red{\bold{Given \: Question :- }}$

• The graph of the linear equation 5x + 3y = 21 cuts the y axes at the point?

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$\huge \orange{AηsωeR} ✍$

$\bf \:❶ 5x + 3y = 21$

➣ To calculate the coordinates of points, which are lies on the line, are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{cccc}\bf x & \bf y \\ \frac{\qquad \qquad \qquad \qquad}{} & \frac{\qquad \qquad \qquad \qquad}{} \\ \sf 4.2 & \sf 0 \\ \\ \sf 0 & \sf 7 \end{array}} \\ \end{gathered}$

$\bf \:↝ For \: graph \: see \: the  \:attachment.$

☆ So, the graph of the linear equation 5x + 3y = 21 cuts the y axes at the point (0, 7).

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$\large \red{\bf \: ⟼ Explore \: more } ✍$

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How to represent a graph of linear equation in two variables?

• Linear equation in two variables is represented graphically by the line whose points give the collection of solutions of the equation. This is called graphing linear equation.

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Properties for graphing linear equation:

• 1. Linear equations have infinitely many solutions.
• 2. Every point (h, k) on the line AB gives the solution x = h and y = k.
• 3. Every point which lies on AB satisfies the equation of AB.
• 4. To draw an exact line on the graph paper you can plot as many points you like, but it is necessary to plot minimum three points.

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Note:

• 1. Linear equation in two variables has infinitely many solutions.
• 2. A graph of linear equation is always a straight line.
• 3. Every point on the straight line is the solution of the linear equation.
• 4. Equation of y-axis is x = 0. The standard form of this equation is x + 0.y = 0.
• 5. Equation of x-axis is y = 0. The standard form of this equation is 0.x + y = 0.
• 6. x = a is a graph of straight line parallel to y-axis and standard form of this equation is x + 0.y = a
• 7. y = b is a graph of straight line parallel to x-axis and standard form of this equation is 0.x + y = b.
• 8. The equation y = mx is always passing through the origin (0, 0).

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