Question

Which choice shows +=7

x
+
y
=
7
in slope-intercept form and the correct graph of the equation?

Answer 1

`y=-x+7`

The graph in the attached figure

Explanation:

we have

`x+y=7`

This is the equation of the line in standard form

Convert to slope intercept form

`y=mx+b`

where

m is the slope

b is the y-intercept

Isolate the variable y

subtract x both sides

`x+y-x=-x+7`

simplify

`y=-x+7`

The y-intercept is the point (0,7)

Find the x-intercept

For y=0

`0=-x+7\\x=7`

The x-intercept is the point (7,0)

Plot the intercepts and join them to graph the line

see the attached figure