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Lana71 [14]
3 years ago
9

What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7 ?

Mathematics
1 answer:
Nina [5.8K]3 years ago
5 0
2/3X
perpendicular slope is opposite of the sign and flip the fraction

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Find the equation of the line that passes through the points (-5,7) and (2,3)
Olegator [25]

Answer:

y=-\frac{4}{7}x+4\frac{1}{7}

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= \frac{y_{1} - y_{2}  }{x_{1} - x_{2}  } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

y=-\frac{4}{7} x+b\\

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}

Last step: substitute the slope and y intercept into y=mx+b.

y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}

That is the answer to this problem.

I hope this helps.

3 0
3 years ago
8 w + 12 = -12<br> Helpppppp
aliina [53]

Answer:

w = -3

Step-by-step explanation:

8w + 12 = -12

use inverse operations:

8w + 12 = -12

-12         -12

8w = -24

/8    /8

w = -3

7 0
3 years ago
Read 2 more answers
How are you supposed solve x
Sergeeva-Olga [200]
Because the lines are parallel, 75 is equal to 11x-2
75=11x-2
77=11x
x=7
7 0
3 years ago
Read 2 more answers
HELP MATH GRAPHS AND RULE SOMETHING LIKE THAT
Bess [88]
I dont know math well but try to look it up
4 0
2 years ago
Please please help please
MrMuchimi

Answer:

hello : answer : 3

Step-by-step explanation:

transled :

1 unit right : add 1 for x

2 unit up : add 2 for y

exempl : the image for M ( 1 ; 2) by translation is M'(1+1 ; 2+2)  so M' (2 , 2).

the image for P ( 1 ; 3) by translation is P'(1+1 ; 3+2)  so M' (2 , 5).

same method for A and T .

4 0
3 years ago
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