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Colt1911 [192]
3 years ago
12

Write the equation of a line perpendicular to 5x – 4y = - 3 that passes through the point (-5,2).

Mathematics
1 answer:
kolezko [41]3 years ago
4 0

Answer: 5y + 4x = - 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their gradients = -1.

If the gradient of the first line is m_{1} and the gradient of the second line is m_{2} , if the lines are perpendicular, them

m_{1} x m_{2} = -1 , that is

m_{1} = \frac{-1}{m_{2} }

The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.

The equation in slope -intercept form is given as :

y =mx + c , where m is the slope and c is the y - intercept.

Writing the equation in this form , we have

5x - 4y = + 3

4y = 5x -+3

y = 5x/4 + 3/4

comparing with the equation y = mx + c , then m_{1} = 5/4

Which means that m_{2} = -4/5 and the line passes through the point ( -5 , 2 ).

Using the equation of line in slope - point form  to find the equation of the line;

y - y_{1} = m ( x -  y_{1} )

y - 2 = -4/5 ( x +5)

5(y - 2 ) = -4 ( x + 5 )

5y - 10 = -4x - 20

5y + 4x = - 10

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Which of the following linear equations has the steepest slope
Pani-rosa [81]

Option B: 8x+1 has the steepest slope

Step-by-step explanation:

Slope is defined as the rate of change of a line

The steepness of a slope means how close it is to being vertical

The greater value of slope means, more steepness. The value of slope can wither b positive or negative

We have to compare the slopes of all given options to find the steepest slope

As the options are in slope-intercept form, the coefficients of x will be the slope

So,

a. Slope = -4

b. Slope = 8

c. Slope = 2/3 = 0.66

d . Slope = 1/7 = 0.14

We can see that the largest value of slope in negative and positive is 8

So,

Option B: 8x+1 has the steepest slope

Keywords: Slope, steepness

Learn more about slopes at:

  • brainly.com/question/6465937
  • brainly.com/question/6431715

#LearnwithBrainly

5 0
3 years ago
Which table represents the function y = 3 x – 1?
Katena32 [7]

Answer:

the first set of values is correct

Step-by-step explanation:

when x =0,

y = 3(0) -1

y=-1

when x =1,

y=3(1)-1

y=2

when x=2,

y=3(2)-1

y=5

7 0
3 years ago
Which expression is equivalent to 2/3(6x+3)
irina1246 [14]
2/3(6x+3)
2/3 x 3(2x+1)
2(2x+1)
4x+2
Therefore your answer is 4x+2
5 0
2 years ago
How many even 3-digit positive integers can be written using the digits 1,2,4,7, and 8?
N76 [4]

Looking at the question, we can see we have 5 different numbers that can go in any order.

<u>5</u> * <u>4</u> * <u>3</u>

The above is basically saying there are 5 different numbers that can be multiplied by 4 other numbers. Those 2 can be multiplied by 3 different ones, leaving us with a 3 digit positive integer.

5 * 4* 3 = 60

4 0
3 years ago
60 minutes is 20% of how many minutes show work on a number line
klio [65]
X=60/20% x=60/0.2 x=300
4 0
3 years ago
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