3. 5x + 1 = 4y + 7 Equation: Slope: y-intercept:

Mathematics

1 answer:

Katen [24]3 years ago

4 0

Answer:

y=5/4x-3/2

Step-by-step explanation:

5x+1=4y+7

4y=5x+1-7

4y=5x-6

y=5/4x-6/4

y=5/4x-3/2

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Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?

Lostsunrise [7]

Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.

Let's try this with option C. To make things easier, convert -4.5 into decimal form: $-4\frac{1}{2}$ . Substitute $-4\frac{1}{2}$ for x and 10 for y in the equation, then solve:

$y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10$

10 does equal 10, so this is a true statement. Option C is the right answer.

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2 years ago

Giovanni had seven rows of trading cards each row had five cards then he added three new cards how many cars are there altogethe

natali 33 [55]

Your answer is 38 because 7x5+3 is 38.

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2 years ago

What are the key aspects of the graph of f(x) = x2 – b2, where b is a real number?

netineya [11]

Given equation is $f\left(x\right)=x^2-b^2$ .

Now we need to find about what are the key aspects of the graph of $f\left(x\right)=x^2-b^2$ , where b is a real number.

We know that square of any number is always positive.

then $b^2$ must be a positive number.

So that means for any real number b, as the value of b increases then graph of f(x) shifts downward by $b^2$ units as compared to the graph of parent function $f\left(x\right)=x^2$