Question

Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes 0.8x+1.6y=2.4

Answer 1

Answer:

$y - intercept \: (a) = 3 ,\\y-intercept \: (b) = \frac{3}{2}$

$Required \: ordered \: pairs \: are \: ( 3,0) \\</p><p>and \: (0 ,1.5)$

Step-by-step explanation:

$Transform \: 0.8x + 1.6y = 2.4\: into \: two \\intercepts \: form \: \frac{x}{a} + \frac{y}{b} = 1 \\where \: x-intercept = a , \: y-intercept = b$

$Divide \: each \: term \: by \: 2.4 , we \:get$

$\implies \frac{0.8x}{2.4}+\frac{1.6y}{2.4}=\frac{2.4}{2.4}$

$\implies \frac{x}{3}+\frac{y}{\frac{3}{2}}=1$

Therefore.,

$y - intercept \: (a) = 3 ,\\y-intercept \: (b) = \frac{3}{2}$

$Required \: ordered \: pairs \: are \: ( 3,0) \\</p><p>and \: ( 0,1.5)$

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Answer 2

The ordered pair representing the points where the line crosses the axes is (3,0) and (0,1.5).

Step-by-step explanation:

Given : Equation  

To find : x- and y-intercepts and write ordered pairs representing the points where the line crosses the axes ?

Solution :  

The x-intercept is when y=0,

So,  

$x=\frac{2.4}{0.8}$

x=3

The pair is (3,0).

The y-intercept is when x=0,

So,$0.8(0)+1.6y=2.4$

$y=\frac{2.4}{1.6}$

y=1.5

The pair is (0,1.5).

Therefore, the ordered pair representing the points where the line crosses the axes is (3,0) and (0,1.5).

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Find x- and y-intercepts Write ordered pairs representing the points where the line crosses the axes y=6x

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