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BigorU [14]
2 years ago
10

A) Find the slope, x-intercept, y-intercept of the line (L):

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
3 0

Answer: 2, 1.5 , -0.75

(b) 4x-3y-10=0

Step-by-step explanation:

Given

line is 3x+4y-6=0

Converting it into intercept form

\Rightarrow 3x+4y=6\\\\\Rightarrow \dfrac{3x}{6}+\dfrac{4y}{6}=\dfrac{6}{6}\\\\\Rightarrow \dfrac{x}{2}+\dfrac{y}{1.5}=1

So, the x-intercept is 2 and y-intercept is 1.5

The slope is given by

-\dfrac{\frac{1}{2}}{\frac{1}{1.5}}=-0.75

(b) the line perpendicular to the above line and passing through (1,-2)

The slope of the required line

m=-\dfrac{1}{-0.75}\\\\m=\dfrac{4}{3}

Equation of the line is given by

\Rightarrow \dfrac{y-(-2)}{x-1}=\dfrac{4}{3}\\\\\Rightarrow 3y+6=4x-4\\\Rightarrow 4x-3y-10=0

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