How do you graph #3x+4y=-10# using intercepts?

Answer 1

See a solution process below:

First, we will find the #x# intercept by solve the equation for #y = #:
#3x + (4 * 0) = -10#
#3x + 0 = -10#
#3x = -10#
#(3x)//color(red)(3) = -10/color(red)(3)#
#x = -10/3# or #(-10/3, 0)#
Next, we will find the #y# intercept by solve the equation for #x = #:
#(3 xx 0) + 4y = -10#
#0 + 4y = -10#
#4y = -10#
#(4y)//color(red)(4) = -10/color(red)(4)#
#y = -5/2# or #(0, -5/2)#

We can then plot the two intercepts on the coordinate plane:

graph{(x^2+(y+(5/2))^2-0.025)((x+(10/3))^2+y^2-0.025)=0 [-10, 10, -5, 5]}

Now, we can draw a straight line through the two points to graph the line:

graph{(3x + 4y + 10)(x^2+(y+(5/2))^2-0.025)((x+(10/3))^2+y^2-0.025)=0 [-10, 10, -5, 5]}

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Answer 2

To graph the equation 3x + 4y = -10 using intercepts, first find the x-intercept by setting y = 0 and solving for x: 3x + 4(0) = -10. This simplifies to 3x = -10, so x = -10/3. Then find the y-intercept by setting x = 0 and solving for y: 3(0) + 4y = -10. This simplifies to 4y = -10, so y = -10/4 or -5/2. Plot these points (-10/3, 0) and (0, -5/2) on the coordinate plane, and draw a line through them to represent the graph of the equation.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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