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Gnoma [55]
2 years ago
7

Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min

us, 4, ). Use exact numbers. y=y=y, equals
Mathematics
1 answer:
alina1380 [7]2 years ago
8 0

Answer:

y=\frac{1}{2}x-2

Step-by-step explanation:

We have been given two points on a line (-6,-5) and (-4,-4). We are asked to write an equation passing through these points.

We will write our equation in slope-intercept form of equation y=mx+b, where,

m = Slope of line,

b = Initial value or the y-intercept.

Let us find slope of given line using slope formula.

m=\frac{y_2-y_1}{x_2-x_1}

Let point (-6,-5)=(x_1,y_1) and point (-4,-4)=(x_2,y_2).

m=\frac{-4-(-5)}{-4-(-6)}

m=\frac{-4+5}{-4+6}

m=\frac{1}{2}

Now, we will substitute m=\frac{1}{2} and coordinates of point (-6,-5) in slope-intercept form of equation as:

-5=\frac{1}{2}*(-6)+b

-5=-3+b

-5+3=-3+3+b

-2=b

Upon substituting m=\frac{1}{2} and b=-2 in slope-intercept form of equation, we will get our required equation as:

y=\frac{1}{2}x-2

Therefore, our required equation would be y=\frac{1}{2}x-2.

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In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.
artcher [175]

Answer:

21.9°

Step-by-step explanation:

In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.

We solve this above question using the Sine rule

a/sin A = b/sin B

In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet.

Hence:

HI/∠J = JH/∠H

= 8/sin 90° = 1.9/sin ∠H

Cross Multiply

∠H = arc sin(sin 1.9 × 90/8)

∠H = 21.9°

5 0
2 years ago
Domain and range of graphs
White raven [17]

Answer:the domain is every “x” coordinate and the range is the “y” coordinate

Step-by-step explanation:

If you have to tell whether it’s a function or not, all of the x values in the domain will be different for a function, and 2 or more of the same x value won’t be a function

4 0
3 years ago
HERE IS THE ONE WITH THE QUESTION LOL PLZ ANSWER
ZanzabumX [31]

Answer:  

The graph goes with the third chart  

Step-by-step explanation:

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8 0
2 years ago
Solve the equation show you work and check. Your answer 4y+5=31
taurus [48]
31-5=26
26/4=6.5
Y=6.5

3 0
2 years ago
Read 2 more answers
What is the slope of a line that is perpendicular to the line whose equation is 7x−3y=107x−3y=10?
Verdich [7]
This is the concept of algebra, to get the slope of the line we need to rewrite the equation in slope intercept form y=mx+c, where m=slope, c=y-intercept.
Therefore re-writing our expression in slope-intercept form we get:
7x-3y=10
-3y=-7x+10
y=7/3x-10/3
The slope=7/3
hence we conclude that the slope of the line perpendicular to this is -3/7


4 0
2 years ago
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