SOLUTION: Determine the vertical change of a line with an x-intercept at (-4, 0) and a y-intercept at (5, 0).

Question 885991: Determine the vertical change of a line with an x-intercept at (-4, 0) and a y-intercept at (5, 0).

Found 2 solutions by josmiceli, Theo:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The problem has an error, maybe in copying it.
(5,0) is not a y-intercept
The y-intercept has to look like: ( 0, y )
With any real value for

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the line starts off at (-4,0) and ends at (5,0)
the slope is equal to (y2-y1) / (x2-x1)
assign one of the points to (x1,y1) and assign the other point to (x2,y2) and plug those values into the formula and solve for the slope.
You can assign any point to (x1,y1) and any other point to (x2,y2). the only requirement is that both points be on the same line.
I did the following:
(x1,y1) = (-4,0)
(x2,y2) = (5,0)
PROBLEM !!!!!
(5,0) is not a y-intercept !!!!!
If that point is a y-intercept, it has to be (0,5).
the y intercept is the value of y when the value of x is equal to 0.
the x intercept is the value of x when the value of y is equal to 0.
looks like you have 2 x intercepts here.
i changed (5,0) to (0,5) in order to show you how to do it.
your corrected points are:
(x1,y1) = (-4,0)
(x2,y2) = (0,5)
y2-y1 = 5 - 0 = 5
x2-x1 = 0 - (-4) = 0 + 4 = 4
your slope is equal to 5/4.
to create the equation of the line connecting the 2 points, you need to find the y intercept.
one way of doing that is to replace x with the value of the x coordinate of one of the points and replace y with the value of the y coordinate of that point and then solve for b in the equation of:
y = mx + b
m is the slope = 5/4
replace x with 0 and y with 5 and you get:
5 = 4/5*0 + b
solve for b to get:
b = 5
the equation of your line is:
y = 5/4x + 5
here's the graph of your line.
you can see that the points (-4,0) and (0,5) are both on the line.

RELATED QUESTIONS
determine the horizontal change of a line with an x-intercept at (3,0) and a y-intercept... (answered by josgarithmetic)
Determine the horizontal change of a line with an x-intercept at (-5, 0) and a... (answered by Boreal)
Determine a rational function that has vertical asymptotes at x= -2 and x=3, an... (answered by josgarithmetic)
Using the following form to find the equation of the line with an x-intercept of (-5/6,0) (answered by ankor@dixie-net.com)
What's a possible equation for a graph with a vertical asymptote at x=-4, horizontal... (answered by greenestamps)
Find the equation of a rational function. Vertical Asymptote at x= -6 Horizontal... (answered by greenestamps)
Write an equation for a rational function with: Vertical asymptotes at x = −4 and x... (answered by greenestamps)
How do you find the x and y intercept of y-2x=5, a. x-intercept located at (� , 0);... (answered by checkley71)
Determine 4 models where the only x-intercept are at: x=-4,-2,1, and 3 the y-intercept is (answered by josgarithmetic,greenestamps)