All categories

2 years ago

What is the equation of the lime that passes through the point (1,3) and has a slope of 6

Mathematics

2 answers:

Ilya [14]2 years ago

7 0

Answer:

y = 6x+ 3.

Step-by-step explanation:

y - y1 = m(x - x1)

sub.

distribute.

bring down and solve.

Paraphin [41]2 years ago

4 0

Answer: y=6x-3

Step-by-step explanation: First of all, you know the x value is 1, the y value is 3, and the slope of the line is 6x. So you can set up a temporary equation. That equation is y=6x+b. Plug in the known value to get 3=6(1)+b. After multiplying, you get 3=6+b. Subtract 6 from both sides and you get -3=b. Now that b is known to be -3, we can write the equation in standard form. That equation is y=6x-3.

You might be interested in

Roland's Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 14 economy s

dmitriy555 [2]

At least 14 economy and at least 5 deluxe...total of 45 seats. He makes a bigger profit from selling economy seats....so we need the most economy seats we can get.

45 seats - 5 deluxe = 40 economy

so the most profit would be 40 economy and 5 deluxe
40 economy = (40 x 30) = 1200 profit
5 deluxe = (5 x 25) = 125 profit
for a maximum profit of : $ 1325

5 0

3 years ago

2x +1 < 5 what would be the inequality for this ?

Juli2301 [7.4K]

Hey there!

2x + 1 < 5

SUBTRACT 1 to BOTH SIDES

2x + 1 - 1 < 5 - 1

SIMPLIFY IT!
2x < 5 - 1

2x < 4

DIVIDE 2 to BOTH SIDES

2x/2 < 4/2

SIMPLIFY IT!
x < 4/2

x < 2

Therefore, your answer is: x < 2

(The graph is down below)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

8 0

2 years ago

Read 2 more answers

Midpoint of (-3,2) (3,2)

Leno4ka [110]

Answer: (0, 2)

Step-by-step explanation:

Do (x1+x2/2, y1+y2/2) as your formula to find the midpoints. -3+3/2=0 and 2+2/2=2 so the midpoint is (0, 2). Hope this helps, have a blessed and wonderful day as well as a safe one and stay healthy!

3 0

2 years ago

Using a linear approximation, estimate f(2.1), given that f(2) = 5 and f'(x) = √3x-1.

algol [13]

Answer:

$f\left( {2.1} \right) \approx 5.22360$ .

Step-by-step explanation:

The linear approximation is given by the equation

${f\left( x \right) \approx L\left( x \right) }={ f\left( a \right) + f^\prime\left( a \right)\left( {x - a} \right).}$

Linear approximation is a good way to approximate values of $f(x)$ as long as you stay close to the point $x= a$ , but the farther you get from $x=a$ , the worse your approximation.