Write the equation in standard form and give the values of a, b, and c. y = -5x + 1

Write an equation in slope intercept form that goes through (-1,6) and (3,-2)

pochemuha

<h2>Answer:</h2>

First, we need to use slope formula* to find the slope.

$m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2$

Second, we use the slope we found and ONE of the 2 points listed and plug it into slope-intercept form** to solve for b.

Here is what we have so far:

$m = -2$

I'm going to use this point:

$x = 3$

$y = -2$

Here is how to find b:

$-2 = -2(3) + b\\\\-2 = -6 + b\\\\4 = b$

Finally, we put all of it together and we have our equation.

$y = -2x + b$

*Slope formula: m = y₂ - y₁/x₂ - x₁

**Slope-intercept form: y = mx + b

5 0

3 years ago

What is the 2nd term when 3+2x^2-3x^4+x^3 is arranged in descending order

Jet001 [13]

$3+2x^2-3x^4+x^3=-3x^4+x^3+2x^2+3$

It's $x^3$

3 0

3 years ago

Hi ppl I rlly need help I’ve been off school and I rlly need to know the mean of 263 240 and 256 also I need to know the mean of

SSSSS [86.1K]

Answer:

So the mean of 263,240,256 is 253 and the mean of 12,13,17 is 14

Step-by-step explanation:

To get the mean of these numbers you add all three of them together then you divide them by the amount of numbers so you are going to add 263+240+256=759 then you divide by 3

$759 \div 3 = 253$

5 0

3 years ago

yael used to have a square garage with 292ft^2 of floor space.she recently built an addition to it. The garage is still a squar

Arturiano [62]

Answer: 19

If the floor space of the garage is increased by 50%, that means its area is increased by that amount

So we have 228 + .50(228) = 228 + 114 = 342 ft²

Since the original garage is square-shaped with an area of 228 ft², then we can find the length of each side. If we let x = the side length, then we have:

x² = 228

x = 15.1 ft

Assuming that the garage will remain square-shaped with sides of uniform dimensions, then we can label each side of the expanded garage as 15 + y. We need to solve for y. Again, we use the area formula. Remember that the expanded garage will have an area of 342 ft², we now have:

(y + 15)² = 342

y² + 30y + 225 = 342

y² + 30y - 117 = 0

This can be solved using the Quadratic Formula. Remember that dimensions must always be positive. Once you determine y, then you will know what the length will be of the expanded garage

8 0

3 years ago

Dwayne is selling hamburgers and cheeseburgers. he has 100 burger buns. each hamburger sells for $3, and each cheeseburger sells

fenix001 [56]

Let h represent hamburgers and c represent cheeseburgers

h + c ≤ 100 - The number of burgers sold

3h + 3.5c ≥ 80 - Amount that each burger sells for

6 0

2 years ago