Question 621524
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+7y=-7}}}
.
Subtract x from both sides of the equation.
{{{7y=-x-7}}}
.
Divide both sides of the equation by 7.
{{{y=-(1/7)x-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.)
.
.
{{{
graph( 600, 400, -10, 10, -10, 10, -(1/7)x-1)
}}}