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