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5. Coordinate geometry
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Q1 of 112 Page 166

Find the slope of the straight line

3x + 4y – 6 = 0

Here we have the straight line : 3x + 4y –6 = 0


The slope intercept form is y = mx + b, where m is the slope and b is the y intercept.


Therefore, 3x + 4y –6 = 0


⇒ 4y + 3x = 6


⇒ 4y = 6–3x


⇒ (Divide both sides of the equation by 4)


⇒


Now we will rewrite it in the slope intercept form



Hence according to the slope intercept form, y = mx + b


m i.e. slope is .


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Find the equation of the line whose gradient is and which passes through P, where P divides the line segment joining A(–2, 6) and B (3, –4) in the ratio 2 : 3 internally.

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Questions · 112
5. Coordinate geometry
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