SOLUTION: How do I do this? List and verify two intercept points (ordered pairs) that are solutions for the equation 5x � 4y = 20? Thank you so much

Question 88912: How do I do this?
List and verify two intercept points (ordered pairs) that are solutions for the equation 5x � 4y = 20?
Thank you so much
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
I presume that by "intercept points" your problem is asking you to find the ordered
pairs where the graph crosses the x-axis and the y-axis.
.
Think about the y-axis. Any point on the y-axis will have zero for it's x-value. For example,
(0, 10), (0,0), (0,-5) are all points on the y-axis because they have zero as their x
value. So in this problem, the way to find the y-axis intercept is to set x equal to zero
and then solve for the corresponding value of y.
.
Let's do it ...
.
5x - 4y = 20 <=== set x = 0
.
5(0) - 4y = 20 <=== multiply 5 times 0 and the term 5(0) disappears
.
-4y = 20 <=== divide both sides by -4 to solve for y
.
y = 20/(-4) = -5
.
So the y intercept for this problem is (0, -5). The graph crosses the the y-axis at a value
of -5.
.
Now let's find where the graph crosses the x-axis. Any value on the x-axis has a y value
of zero. For example, (-6,0), (0,0), and (8,0) are all points on the x-axis. All you need
to do is to set y equal to 0 in the equation of this problem to find the corresponding
value of x where the graph crosses the x-axis.
.
5x - 4y = 20 <=== set y = 0
.
5x - 4(0) = 20 <=== multiplying 4 times zero results in 0 so that term disappears
.
5x = 20 <=== solve for x by dividing both sides by 5
.
x = 20/5 = 4
.
Therefore, the point (4, 0) is the intercept point on the x-axis.
.
In summary, two intercept points are (0, -5) on the y-axis and (4, 0) on the x-axis.
.
The graph of this equation might help you to understand the problem, so here it is:
.

.
Hope this helps you to understand the problem.
RELATED QUESTIONS
List and verify two intercept points (ordered pairs) that are solutions for the equation... (answered by funmath)

List and verify two intercept points (ordered pairs) that are solutions for the equation... (answered by funmath)

How do I find three different ordered pairs that are the solutions of this equation:... (answered by Alan3354)

List ALL of the following ordered pairs (points) that are solutions of the equation... (answered by solver91311)

4x + 3y greater than or equal to 30 x + 3y greater than or equal to 21 x greater than (answered by KMST)

How do I give two solutions to the equation 2x-4y=16? I need to list it as an ordered... (answered by stanbon)

How do I use the substitution to determine whether the given ordered pairs are solutions... (answered by ewatrrr)

y=3x-1;(1,2),(-1,-4),(2,3) Determine whether or not the given ordered pairs are solutions (answered by user_dude2008)

How do you compute algebraically (not by graphing) the intercepts of any function? (answered by mananth)