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Papessa [141]
3 years ago
11

Complete the equation of the line through (-8, -2) and (-4, 6)

Mathematics
1 answer:
irga5000 [103]3 years ago
6 0

Answer:

Equation of line is given by:

y=2x+14  

Step-by-step explanation:

Given points:

(-8,-2)\ and\ (-4,6)

Slope of line m=\frac{y_2-y_1}{x_2-x_1}

where (x_1,y_1) and (x_2,y_2)  is a point on the line

m=\frac{6-(-2)}{-4-(-8)}

m=\frac{6+2}{-4+8}

m=\frac{8}{4}

∴ m=2

Point-slope equation of line is given by:

y-y_1=m(x-x_1)  

where (x_1,y_1) is a point on the line and m is slope of line.

Using point (-8,-2) and slope m=2 point-slope equation of line is given by:

y-(-2)=2(x-(-8))  

Simplifying.

y+2=2(x+8)  

Using distribution.

y+2=2x+16  

Subtracting 2 to both sides.

y+2-2=2x+16-2  

y=2x+14  

Thus, equation of line is y=2x+14  

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ozzi

Answer:

x = 42.5

Step-by-step explanation:

A triangle inscribed inside of a circle using the diameter of the circle as it's hypotenuse is a right triangle ( a 90 degree triangle ) where the angle opposite of the hypotenuse is the 90 degree angle ( angle C )

Hence angle C = 90

If angle C = 2x + 5

Then 2x + 5 = 90

Notice that we just created an equation that we can use to solve for x

We now solve for x algebraically

2x + 5 = 90

Step 1 subtract 5 from both sides

2x + 5 - 5 = 90 - 5

Outcome: 2x = 85

Step 2 divide both sides by 2

2x/2 = 85/2

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From the figure attached,

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