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The line y = m x + 5 passes through the point ( 1 , 8 ) . Find m

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The line y=mx+5y = mx + 5 passes through the point (1,8)(1, 8). Find mm.

रेखा y=mx+5y = mx + 5 बिंदु (1,8)(1, 8) से गुजरती है। mm का मान ज्ञात कीजिए।

Options / विकल्प

A. 5

B. 4

C. 3

D. 2


Answer / उत्तर

3


Solution / समाधान

Shortcut Trick / शॉर्टकट ट्रिक

If a point lies on a line, its coordinates satisfy the equation of the line.

यदि कोई बिंदु किसी रेखा पर स्थित है, तो उसके निर्देशांक उस रेखा के समीकरण को संतुष्ट करते हैं।

Given:

y=mx+5y = mx + 5

Point:

(1,8)(1,8)

Substitute x=1x=1 and y=8y=8:

8=m(1)+58 = m(1) + 5
8=m+58 = m + 5
m=85m = 8 - 5
m=3m = 3

Alternative Method / वैकल्पिक विधि

y5=mxy - 5 = mx m=y5xm = \frac{y-5}{x}

Substituting (1,8)(1,8):

m=851m = \frac{8-5}{1} m=3m = 3

Final Answer / अंतिम उत्तर

3\boxed{3}

Correct Answer / सही उत्तर: 3



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