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how do i find the y intercept for 14x+y=140 and what would the slope be? and what would the x intercept be?

1 Answer

5 votes

Answer:

  • y-intercept: 140
  • slope: -14
  • x-intercept: 10

Explanation:

You want to know the intercepts and slope of the line whose equation is ...

14x +y = 140

Intercepts

Each intercept is the solution to the equation when the other variable is set to zero.

To find the y-intercept, use x=0: y = 140.

To find the x-intercept, use y=0: 14x = 140 ⇒ x = 10

Slope

The slope is the coefficient of x when the equation is solved for y:

14x +y = 140

y = -14x +140 . . . . . the x-coefficient is -14

The y-intercept is 140; the slope is -14; the x-intercept is 10.

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Additional comment

As you can see, when the equation is in standard form:

ax +by = c

The intercepts are ...

x-intercept = c/a

y-intercept = c/b

and the slope is ...

slope = -a/b

User Nigel Ren
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