All categories

3 years ago

What is the equation of a line perpendicular to the line y=(4/9)x-2 that passes through the point (4,3)?

1 answer:

3 0

y=(4/9)x-2
This is in slope intercept form (y=mx+b), where m is the slope.
A perpendicular line will have the opposite reciprocal of the slope.
So if the slope here is 4/9, then the perpendicular line's slope will be -9/4.

Now that you have the slope (-9/4) and a point (4, 3), you can use the point-slope formula to find the equation.
y - y₁ = m(x - x₁)
y - 3 = (-9/4)(x - 4)
y - 3 = (-9/4)x + 9
y = (-9/4)x + 12

So the answer will be:
C. y= -(9/4)x+12

You might be interested in

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-

seropon [69]

Answer:

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

Step-by-step explanation:

According to the statement, let $A(x,y) = (14,21)$ and $B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})$ . The equation of the line in point-slope form is defined by the following formula:

$y-y_{A} = m\cdot (x-x_{A})$ (1)

Where:

$x_{A}$ , $y_{A}$ - Coordinates of the point A, dimensionless.

$m$ - Slope, dimensionless.

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

$m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}$ (2)

If we know that $x_{A} = 14$ and $y_{A} = 21$ , then the equation of the line in point-slope form is:

$x_{B} = 1.25\cdot (14)$

$x_{B} = 17.5$

$y_{B} = 0.75\cdot (21)$

$y_{B} = 15.75$

From (2):

$m = \frac{15.75-21}{17.5-14}$

$m = -\frac{3}{2}$

By (1):

$y-21 = - \frac{3}{2}\cdot (x-14)$

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

5 0

3 years ago

HELP THIS IS DUE TODAY

masya89 [10]

Answer:

7) circumference = 11.78 ft

8) arc NMP = 198° or 27.63 ft

Step-by-step explanation:

7) circumference = πd = (3.14) (3 3/4) = 11.78 ft

8) radius = 8 ft

diameter = 2 x 8 = 16 ft

arc NM + arc QP = 360° - 162° - 162° = 36°

arc NM = arc QP because they are arcs of vertical angles.

arc QP = 18°

arc NMQ = 180°

arc NMP = 180° + 18° = 198°

circumference = πd = (3.14)(16) = 50.24 ft

(198°/360°)(50.24) = 27.63 ft

5 0

2 years ago

Need help ASAP! Question in screenshot

Mashutka [201]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What kind of websites will the search engine blacklist?

Alex777 [14]

Answer:Usually, websites that end up in a blacklist are either hacked, infected with malware or have some irregularities, that Google finds suspicious.

6 0

3 years ago

Read 2 more answers

Evaluate the expression 5(7 - 4)2 + 3 + 11. •3 •14 •26 •33

RoseWind [281]

Answer:

Step-by-step explanation:

im not sure actually

5 0

3 years ago

Read 2 more answers