Question

Draw the graph of the equation 3 x − 4 y = 12. At what points does the graph cut the x -axis and the y -axis?

Answer 1

Answer:

Given 6x−3y=12

⟹3(2x−y)=12

⟹2x−y=4

⟹y=2x−4⋯(1)

To draw the graph , we need atleast two solutions

Also to find the coordinates of the points where the graph cuts the coordinate axes,put x=0 and y=0 respectively

Put x=0 in (1)

⟹y=2(0)−4=0−4=−4

(0,−4) is the solution of given line

Put y=0

⟹0=2x−4

⟹2x=4

⟹x=2

(2,0) is the solution of given line

With these two solutions we can draw graph of 6x−3y=12

(2,0) & (0,−4) are the points where the graph cuts the coordinate axes

Answer 2

Answer:

I am giving only one answer

Step-by-step explanation:

the point where 3x-4y=12

there y=0

so put value

3x-4×0=12

3x=12

x=4

at (4,0) 3x-4y=12 cuts x axis

for y axis x=0

3×0-4y=12

-4y=12

y=-3

at point (0,-3).

3x-4y=12 cuts y axis now just join these these points your graph for 3x-4y=12 is ready