I need to find the intercepts and then use them to graph the equation.
4y - 12 = 4x
I started out
4y - 12 + 12 = 4x +12
getting
4y = 16x
but I do not think I am on the right path..something does not look right..please guide :)
To get the x intercept you are going to want to isolate the x so that your problem equals x SO try dividing the 4 in 4x by itself to cancel it out. Since you have to do the same thing on both sides, divide the 4 by 4y and by 12 then you have x=y-3. Here is an example of how to get y: Say my problem was 2y-6=2x you would subtract the 2y to get it on the other side of the equal sign (-6=-2y+2x) then send the 2x to the other side (-6-2x=-2y). Finally divide the -2 to both sides to isolate the y (y=1x+3)
-Im sorry if I that made no since at all if it didn't disregard this and hopefully someone else can describe it better good luck!
When you tried it, you incorrectly added 4x + 12 = 16x.
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The x intercept is a point on the x axis. In other words, the y value at that point(s) is 0.
So, given your equation 4y - 12 = 4x, set y equal to 0 and solve for x.
4(0) - 12 = 4x
x = ?
To find the intercepts of the equation 4y - 12 = 4x, you need to rewrite the equation in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
Let's start by isolating the variable y:
4y = 4x + 12
Divide both sides of the equation by 4 to solve for y:
y = (4x + 12)/4
Simplifying further:
y = x + 3
Now that the equation is in slope-intercept form, we can see that the coefficient of x, which is 1, represents the slope of the line. In this case, the slope is 1.
To find the x-intercept, we set y equal to 0 and solve for x:
0 = x + 3
Subtract 3 from both sides:
-3 = x
So, the x-intercept is -3.
To find the y-intercept, we set x equal to 0 and solve for y:
y = 0 + 3
Simplify:
y = 3
Therefore, the y-intercept is 3.
Now that we have found the x-intercept (-3) and the y-intercept (3), we can plot these points on a graph. The x-intercept is where the line crosses the x-axis, so we plot the point (-3, 0). The y-intercept is where the line crosses the y-axis, so we plot the point (0, 3).
Then, using a straight edge, draw a line through these two points to complete the graph of the equation 4y - 12 = 4x.