SOLUTION: How do I find the slope and y-intercept of the graph of an equation and then give the y-intercept as an ordered pair?
Algebra ->
Coordinate-system
-> SOLUTION: How do I find the slope and y-intercept of the graph of an equation and then give the y-intercept as an ordered pair?
Log On
Question 548831: How do I find the slope and y-intercept of the graph of an equation and then give the y-intercept as an ordered pair? Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! The first step is to get the equation into slope-intercept form to immediately see your answer to the slope and to the y-intercept.
.
y = m*x + b
m = slope
(0,b) = y-intercept
.
Let's assume you have the equation:
2x + y = 4
.
Subtract 2x from both sides to get it into slope-intercept form.
y = -2x + 4
.
You can observe:
m = -2
(0,4) = y-intercept.
.
You only need one more point to be able to draw a line.
.
A good candidate is to find the x-intercept, which is often asked for.
.
Set y = 0 and solve for x.
.
0 = -2x + 4
2x = 4
x = 2
(2,0) = x-intercept
.
A graph is always useful.
.
.
Done.