All categories

3 years ago

Find the equation of the line specified. The slope is -7, and it passes through ( 5, -3).

2 answers:

Montano1993 [528]3 years ago

7 0

The general equation of a line is
y= ax + b
where a is the slope
So a = -7
So y= -7x + b
But it passes through the point (5, -3)
Substitute the coordinates to calculate b:
So -3 = -7(5) + b
-3 = -35 + b
b= 35-3
b= 32
So the equation of the line of slope -7 and passing through the point (5, -3) is
y= -7x + 32

salantis [7]3 years ago

6 0

The equation will be y= -7x+32

You might be interested in

Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre

Rina8888 [55]

Answer:

Volume = 200.96 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula $V=\frac{1}{3}\pi r^2 h$

Where r is the radius and h is the height

Given r = 4 and height is 3 times that. So height is 4*3 = 12

Plugging these into the formula we get:

Volume of Cone = $\frac{1}{3}\pi (4)^2 (12)\\=\frac{1}{3}(3.14)(16)(12)\\=200.96$

Thus, Volume = 200.96 cubic feet

3 0

3 years ago

The perimeter of a rectangular field is 278 m. If the width of the field is 61 m, what is its length?

nataly862011 [7]

Answer:

length is 78

Step-by-step explanation:

Perimeter of rectangle is P = 2 (l +w)

278 = 2(l + 61)

l = 78

3 0

3 years ago

Probability question (image included)

Alexandra [31]

Answer:

Step-by-step explanation:

3 0

3 years ago

Three forces of 300 N in the direction of N30E, 400N in the direction of N60E and

andreyandreev [35.5K]

Split up each force into horizontal and vertical components.

• 300 N at N30°E :

(300 N) (cos(30°) i + sin(30°) j)

• 400 N at N60°E :

(400 N) (cos(60°) i + sin(60°) j)

• 500 N at N80°E :

(500 N) (cos(80°) i + sin(80°) j)

The resultant force is the sum of these forces,

∑ F = (300 cos(30°) + 400 cos(60°) + 500 cos(80°)) i

… … … + (300 sin(30°) + 400 sin(60°) + 500 sin(80°)) j N

∑ F ≈ (546.632 i + 988.814 j) N

so ∑ F has a magnitude of approximately 1129.85 N and points in the direction of approximately N61.0655°E.

4 0

2 years ago

Please help Fr pleased I’m begging you

andreyandreev [35.5K]

Answer:

y = $\frac{3}{8}$ x - 2

Step-by-step explanation:

<u>The answer to this problem is a simple plug-in of the given values into the slope-intercept formula.</u>

Slope intercept formula: y = mx + b

(m = slope)

(b = y intercept)

If the equation has a slope of m = $\frac{3}{8}$ , then the slope-intercept form would be:

y = $\frac{3}{8}$ x

If the y-intercept of an equation is (0 , -2), then the slope intercept form would be:

y = mx - 2

<u>Putting both of these values into an equation would give option A:</u>

y = $\frac{3}{8}$ x - 2

6 0

3 years ago