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PLS HELP I NEED HELP LIKE RIGHT NOW (25 pts)

What are the x and y-intercepts of the line described by the equation?

3x−9y=10.8



Enter your answers just as a number , in decimal form, in the boxes.
Do not enter either intercept as a coordinate point. No parenthesis.

x-intercept =

y-intercept =






Respuesta :

Answer:

x-intercept = 3.6

y-intercept = - 1.2

Step-by-step explanation:

  • x-intercept is the x-cutting point (the point where the line (when graphed) cuts the x axis)
  • y-intercept is the y-cutting point (the point where the line cuts the y axis)

At x axis, y = 0, so to find x-intercept, we put y = 0 and solve for x. Also,

At y axis, x = 0, so to find y-intercept, we put x = 0 and solve for y.

First, x-intercept:

Putting y = 0

[tex]3x-9y=10.8\\3x-9(0)=10.8\\3x-0=10.8\\3x=10.8\\x=\frac{10.8}{3}\\x=3.6[/tex]

Second, y-intercept:

Putting x = 0

[tex]3x-9y=10.8\\3(0)-9y=10.8\\0-9y=10.8\\-9y=10.8\\y=\frac{10.8}{-9}\\y=-1.2[/tex]