Question

How do you calculate the slope, x intercept, and y intercept of the following equation: `x+y = 7`?

Answer 1

Slope `= -1`
x-intercept `= 7`
y-intercept `= 7`

Explanation:

For a linear equation in standard form: `Ax+By = C`
the slope can be calculated as `m = -A/B`

Since for `x+y = 7`
`color(white)("XXXX")` `A=1` `color(white)("XXXX")`and`color(white)("XXXX")` `B=1`
the slope is `(-1)`

The x-intercept is the value of `x` when `y=0`
and
the y-intercept is the value of `y` when `x=0`
`rArr` `color(white)("XXXX")`the x and y intercepts for the given equation are both `7`