Question
Asked Oct 21, 2019
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Find the slope, x intercepts and y intercepts for the following 

y= 3x-24 

x/2-6=3y

4x-3y=24

y=4

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Expert Answer

Step 1

Compare the given equations with the standard equation of line, y=mx+c where m=slope of the line

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() у %33х- 24; т 3 3 1 1 т (о-6-3 -6 %3 3у — у%3—х-2; 6 (ii) 2 4 4 (її) 4х -3у %3D 24 — у %3D—х-8; 3 m 0 — у 3D 0х +4; (iv)у — 4;

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Step 2

To find the x intercepts, substitute y=0 in the equations.

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Put y 0 (i) y 3x-24 (iil) 4х -3у%3D24 0%3 3х — 24 4x 0 24 3х 3 24 24 X _ 4 6 24 -8 =_ = (6= (iv)y = 4 -6 3y 2 0 4 -6-0 Since above equality is not possi ble, there is no x intercept for this line 2 6 2 x = 12

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Step 3

To find the y intercepts, substit...

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Put x 0 (i) y 3x-24 (ii) 4х -3у%3D24 y = 0 - 24 0-3y 24 y = -24 24 -8 У = 6-3y (ii) 0 -6 = 3y 2 (iv) y 4 Since there is no x term present, value of y is readily found to be 4. 6 -2 y =

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Math

Calculus

Functions

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