Rewrite the equation in Ax+By=C form. Use integers for A ,B and C .y=3=4(x=5)

Mathematics

2 answers:

jenyasd209 [6]2 years ago

4 0

The equation given to us is $y-3=4(x-5)$ . To convert it into $Ax+By=C$ , we will have to rearrange given equation as:

$y-3=4(x-5)$

$y-3=4x-20$

Adding 3 to both sides, we get:

$y=4x-20+3$

$y=4x-17$

Now, adding 17 to both sides and subtracting y from both sides we get:

$17=4x-y$

Or, $4x-y=17$

This is in the required form of Ax+By=C, where, A=4, B=-1 and C=17

MissTica2 years ago

3 0

Y - 2 = -3x + 12

3x + y = 14

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PLEASE HELP ME!

kotegsom [21]

Answer:

Bottom left graph

Step-by-step explanation:

We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:

−2x + y ≤ 4 >> Original Standard Equation

+ 2x + 2x

_________

y ≤ 2x + 4 >> Slope-Intercept Equation

−2[0] + 0 ≤ 4

0 ≤ 4 ☑ [We shade the part of the graph that CONTAINS THE ORIGIN, which is the right side.]

$\displaystyle y > x + 2 \\ \\ 0 ≯ 2$ [We shade the part of the graph that does not contain the origin, which is the left side.]

So, now that we got that all cleared up, we can tell that the graphs share a region in between each other and that they both have POSITIVE RATE OF CHANGES [SLOPES], therefore the bottom left graph matches what we want.

** By the way, you meant $\displaystyle y > x + 2$ because this inequality in each graph is a dashed line. It is ALWAYS significant that you be very cautious about which inequalities to choose when graphing. Inequalities can really trip some people up, so once again, please be very careful.