SOLUTION: How do i go about figuring out how to write an equation in slope-intercept form that satisfies each given condition and finding the slope when the x-intercept = 3 and the y-interce

Question 158993: How do i go about figuring out how to write an equation in slope-intercept form that satisfies each given condition and finding the slope when the x-intercept = 3 and the y-intercept = 2 and there is no slope given
Found 2 solutions by checkley77, gonzo:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
The given points are:(3,0) & (0,2)
The slope formula is: m=(y2-y1)/(x2-x1)
m=(2-0)/(0-3)=2/-3=-2/3 is the slope.
Y=mX+b
y=-2x/3+2 is the line equation through (3,0) & (0,2).
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x/3 +2).
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
knowing the x-intercept and the y-intercept give you 2 point from which you can calculate the slope.
in your example, y-intercept = 2 means the point is (0,2) since the y-intercept is the y value when x value = 0.
x-intercept = 3 means the point is (3,0) since the x-intercept is the x value when y = 0.
now that you have 2 points, you can calculate the slope.
slope-intercept formula is y = m*x + b where m is the slope and b is the y-intercept.
your 2 data points are (x1,y1), and x2,y2) from which you can calculate the slope by using the following equation

let (x2,y2) = (0,2)
let (x1,y1) = (3,0)
slope = = =
slope-intercept equation now becomes
now all you have to do is solve for b.
to solve for b, use one of the points that are part of the line.
we'll use (3,0) first.
becomes
this becomes
solving for b gets
b = 2
full slope-intercept equation then looks like
using this formula and substituting for values using the other point of (0,2) gets which becomes 2 = 2 which is an identity proving the formula is correct.
using this formula and substituting for values using the first point used of (3,0) gets which becomes which becomes 0 = 0 which is an identify proving the formula is correct.
the answer is

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