All categories

4 years ago

Find an equation of the line that passes through the given point and has the indicated slope m.

Mathematics

1 answer:

REY [17]4 years ago

4 0

Answer:

y = $\frac{4}{5}$ x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = $\frac{4}{5}$ , thus

y = $\frac{4}{5}$ x + c ← is the partial equation

To find c substitute (- 5, - 2) into the partial equation

- 2 = - 4 + c ⇒ c = - 2 + 4 = 2

y = $\frac{4}{5}$ x + 2 ← equation of line in slope- intercept form

You might be interested in

What are the coordinates of points a <br> (-4,3)<br> (3,-4)<br> (-3,-4)<br> (-4,-3)

lozanna [386]

The answer is (-4, -3)

5 0

3 years ago

Prudence had $213.52 in her bank account. She deposited her $1234.56 paycheck, paid a $412.12 bill, spent $100.75 shopping, and

Yuliya22 [10]

Answer:

Jen used a card to make the purchase, and she received a bill within 15 days of the purchase. She paid $21.30 for the next 18 months until the bill was paid in full. The full payment included $58.60 in interest.

Step-by-step explanation:

5 0

3 years ago

Measure (7x+1) (2x+1)

Gemiola [76]

Smaller angle = 41°

Larger angle = 139°

Step-by-step explanation:

(7x - 1) + (2x + 1) = 180

7x + 2x - 1 + 1 = 180

9x = 180

x = 20

The measure of the smaller angle is

2x + 1

= 2(20) + 1

= 40 + 1

<u>= 41°</u>

The measure of the larger angle is

7x - 1

= 7(20) - 1

= 140 - 1

<u>= 139°</u>

4 0

3 years ago

Read 2 more answers

A quadrilateral has vertices (2, 0), (0, –2), (–2, 4), and (–4, 2). Which special quadrilateral is formed by connecting the midp

Elden [556K]

The first step to take is to plot the coordinates of the figure. Next, we caculate the distances of the sides of the polygon using distance formula given the coordinates of points. Next we get the midpoint of each side and connect them to each other. we calculate again the distances. The resulting figure is composed of four congruent sides but the angles are not perpendicular. The answer is D. rhombus

3 0

3 years ago

What is the following simplified product? Assume x greater-than-or-equal-to 0 2 StartRoot 8 x cubed EndRoot (3 StartRoot 10 x Su

dalvyx [7]

The simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x - 4x³√10x

<h3>How to determine the simplified product?</h3>

The complete question is added as an attachment

From the attached figure, the product expression is:

2√8x³(3√10x⁴ - x√5x²)

Evaluate the exponents

2√8x³(3√10x⁴ - x√5x²) = 2 *2x√2x(3x²√10 - x²√5)

Evaluate the products

2√8x³(3√10x⁴ - x√5x²) = 4x√2x(3x²√10 - x²√5)

Open the bracket

2√8x³(3√10x⁴ - x√5x²) = 12x³√20x - 4x³√10x

Evaluate the exponents

2√8x³(3√10x⁴ - x√5x²) = 24x³√5x - 4x³√10x

Hence, the simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x - 4x³√10x