Question

Represent geometrically 3x + 15 = 0 on (i) the number line (ii) on Cartesian plane​

Answer 1

Your Answer:

Solving the Equation to locate it on Number line

$\tt 3x + 15 = 0 \\\\ \tt \Rightarrow 3x = -15 \\\\ \Rightarrow \tt x = \dfrac{-15}{3} \\\\ \Rightarrow \tt x = -5$

So, We have to represent -5 on number line.

So, check the first pic for the answer.

Now Solving it represent it on Cartesian Plane.

$\tt 3x + 15 = 0 \\\\ \tt \Rightarrow 3x = -15 \\\\ \Rightarrow \tt x = \dfrac{-15}{3} \\\\ \Rightarrow \tt x = -5$

So, check the second pic for the answer

Extra Information:

How To plot a Point on Graph?

To plot a point on Graph we just need few steps.

• First solve the Equations for x and y, at least find two values.
• Second, each value of x and y will create a Point.
• Locate them on the Graph. By knowing the Symbols of Quadrant in the Cartesian Plane.
• So, Join the points, here the line formed is the graph of Linear Equation.

Answer 2

$\huge\underline\bold\red{Answer!!}$

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$3x + 15 =0 \\ - > 3x = - 15 \\ - > x = \frac{ - 15}{3 } \\ - > x= - 5$

now we have to represent -5 on number line

so for the number line , check at the attachment

CARTESIAN PLANE:-

$3x + 15=0 \\ - > 3x= - 15 \\ - > \: x= \frac{ - 15}{3} \\ - > x= - 5$

see at the second attachment

HOPE IT HELPS YOU ❤️