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3 years ago

What is an equation of the line that passes through the points ( −4 , − 6 ) and (4,4)?

Mathematics

2 answers:

kherson [118]3 years ago

4 0

Answer:

y=5/4x-1

Step-by-step explanation:

-6-4/-4-4 = -10/-8 = 5/4 (slope)

y=5/4x+b

4=5/4(4)+b

b=-1

y=5/4x-1

spin [16.1K]3 years ago

4 0

Answer:

$y = \frac{5}{4} x -1$

Step-by-step explanation:

Find the slope of this line by using the slope formula: $\frac{y_2-y_1}{x_2-x_1}$ . Substitute both given points into this formula.

$\frac{(-6)-(4)}{(-4)-(4)} \rightarrow\frac{-10}{-8} \rightarrow\frac{-5}{-4} =\frac{5}{4}$

The slope of the line is 5/4. Now this can be plugged into point-slope form since we have the point and the slope of the line.

Use any pair of given points, I'll be using (4,4).

Point-slope form: $y-y_1=m(x-x_1)$

Substitute 4 for $x_1$ , 4 for $y_1$ , and 5/4 for m.

$y-(4)=\frac{5}{4} (x-(4))$

Simplify this equation.

$y-4=\frac{5}{4} (x-4)\rightarrow y-4=\frac{5}{4} x-5\rightarrow y = \frac{5}{4} x -1$

The equation in slope-intercept form of the line is $y = \frac{5}{4} x -1$ .

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Mrs. Blanda's truck holds 19.7 gallons of gas. She used 4 full tanks fo gas last month and paid $3 for each gallon. How much did

Yakvenalex [24]

Answer:

$236.40

Step-by-step explanation:

Mrs. Blanda's truck holds 19.7 gallons of gas. She used 4 full tanks of gas last month.

1 full tank holds 19.7 gallons of gas

4 full tank hold 4*19.7 gallons of gas

4 full tank = 78.8 gallons of gas used last month

She paid $3 for each gallon

We need to find the amount she paid for 78.8 gallons

78.8 * 3= 236.4

Mrs. Blanda spend on gas last month = $236.40

8 0

3 years ago

H(x) = x^2+6 g(x) = 8x-5 <br><br> show that hg(x)=19 simplifies to 16x^2 - 20x + 3 = 0

Studentka2010 [4]

Answer:

h(x)=x²+6 and g(x)=8x-5

prove that hg(x)=19

Step-by-step explanation:

step 1: hog(x)=h[g(x)]

step 2: h(8x-5)

step 3: h(8x-5)= (8x-5)²+6

step 4: (8x-5)(8x-5)+6

step 5: 16x² +15x +6

6 0

3 years ago

Each meat loaf use 3/4lb of meat how much for 8 loaves

Yakvenalex [24]

6 pounds of meat

3 / 4 * 8 = 6

3 0

2 years ago

Read 2 more answers

PLEASE HELP QUICK!! WILL OFFER 100 POINTS TO THE FIRST ONE THAT ANSWERS

Reil [10]

Given

$x+1 = \sqrt{7x+15}$

We have to set the restraint

$x+1\geq 0 \iff x \geq -1$

because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:

$(x+1)^2=7x+15 \iff x^2+2x+1=7x+15 \iff x^2-5x-14 = 0$

The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.

Similarly, we have

$x-3 = \sqrt{x-1}+4 \iff x-7=\sqrt{x-1}$

So, we have to impose

$x-7\geq 0 \iff x \geq 7$

Squaring both sides, we have

$(x-7)^2=x-1 \iff x^2-14x+49=x-1 \iff x^2-15x+50 = 0$

The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.

7 0

3 years ago

Steps for graphing -x^2-4x-3

sdas [7]

Answer:

Step-by-step explanation:

There are several ways to do this. The first, which I personally think is the quickest way without having to do too much math or rearranging the equation is to simply pick random points for x and solve for y.

For instance, you might try -2 for x.

- ( - 2)^2 - 4 ( - 2) - 3

= - 4 + 8 - 3

= 1

So one of your points would be (-2, 1)

Then you might choose, say, -3 for x. And after that, -1 for x. If you want to graph even more points after those (the more points, the more accurate your graph), choose -4 and 0 for x. Simply put it into the equation and find y. Then graph.

3 0

2 years ago