SOLUTION: Graph the equation by finding the slope and y-intercept. x + 7y = -7

Algebra ->  College  -> Linear Algebra -> SOLUTION: Graph the equation by finding the slope and y-intercept. x + 7y = -7       Log On


   

Question 621524: Graph the equation by finding the slope and y-intercept.
x + 7y = -7
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--
.
An easy way to find the slope and the y-intercept is to rearrange the given equation into its slope-intercept form (y=mx+b).
.
x%2B7y=-7
.
Subtract x from both sides of the equation.
7y=-x-7
.
Divide both sides of the equation by 7.
y=-%281%2F7%29x-1
.
Now the equation is in slope-intercept form (y=mx+b). The slope m is the coefficient of x, -1/7.
The y-intecept b is -1.
.
The equation is graphed below. The line crosses the y-axis at the point (0,-1) and the slope is 1/7 (down 1 unit for every 7 units to the right.)
.
.
%0D%0Agraph%28+600%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+-%281%2F7%29x-1%29%0D%0A