How do you graph using the intercepts for #5x+3y=53#?

Answer 1

#color(purple)("The two points are " (53/5,0), (0, 53/3)#

#5x + 3y = 53#

#Intercept form of equation is #x / a + y / b = 1#

Converting the given equation to intercept form,

#(5/53) x + (3/53) y = 1#

#x / (53/5) + y / (53/3) =1#

Hence, #"x-intercept " = 53/5, " y-intercept " = 53/3#

#color(purple)("The two points are " (53/5,0), (0, 53/3)#

Now we can plot the graph knowing two points on a line.

graph{-(5/3) x + (53/3) [-10, 10, -5, 5]}

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To graph using the intercepts for the equation (5x + 3y = 53):

  1. Find the x-intercept by setting (y = 0) and solving for (x).
  2. Find the y-intercept by setting (x = 0) and solving for (y).
  3. Plot these intercept points on the coordinate system.
  4. Draw a straight line passing through these points.

For the x-intercept: (5x + 3(0) = 53) (5x = 53) (x = \frac{53}{5})

For the y-intercept: (5(0) + 3y = 53) (3y = 53) (y = \frac{53}{3})

So the x-intercept is (\left(\frac{53}{5}, 0)) and the y-intercept is (\left(0, \frac{53}{3}\right)).

Plot these points and draw a line passing through them to graph the equation.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
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.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7