All categories

3 years ago

What is the point-slope form of the equation for the line with a slope of -2 that passes through (1,4)?

Mathematics

1 answer:

morpeh [17]3 years ago

6 0

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})~\hspace{10em} slope = m\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-2(x-1)$

You might be interested in

Answer the following: GCF of 20 & 32 GCF of 45 & 75

Jet001 [13]

Answer:

GCF OF 20 AND 32: 4

Gcf of 45 and 75: 15

Step-by-step explanation:

GcF of 20 and 32

Factors of 20: 1, 2, 4, 5, 10, 20

Factors of 32: 1, 2, 4, 8, 16, 32

COMMON FACTORS: 1, 2, 4

GCF:4

Gcf of 45 and 75

Factors of 45: 15, 9, 5, 3, 1.

Factors of 75: 25, 15, 5, 3, 1.

CommoN factors: 1, 3, 5, 15

GCF:15

HOPE OT HELPED

3 0

3 years ago

Read 2 more answers

The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i

Hunter-Best [27]

Answer:

$(x+3)^2+(y+11)^2=121$

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

Blue line is given by y = 4x + 1.
Point B is the center of the circle.
Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

$(x-h)^2+(y-k)^2=r^2$

then with h = -3, k = -11 and r= 11, the equation of our circle is

$(x+3)^2+(y+11)^2=121$

5 0

3 years ago

The bread is on sale for $1.50 so Erica is also going to buy candy or gum. Which can she afford?

Alborosie

Ok, so she started off with $5.00.

She bought milk for $2.99.

She buys bread, which costs $1.50.

Subtracting the money she wasted, the total would be $0.51.

The only thing she could buy is 5 pieces of gum for 25 cents.

Her change will be $0.26.

Hope this helps!

6 0

3 years ago

Sam deposits the same amount of money,every week,for 71 weeks in his checking account.At the end of 71 weeks,he has $6,015 in th

rosijanka [135]

What is the rest of the problem? I can help you!

3 0

3 years ago

American Eagle is having a sale in which all Jeans are priced $20 each. The sales tax is 5%.

Mashcka [7]

The answer to your question is b

5 0

3 years ago