Notice that the two points given, share the same x-value even when the y-value changes. This is because the equation is going to be a vertical line at -4 on the x-axis. Being a vertical line, you cannot take its slope using the slope formula of: m = (y2 - y1) / (x2 - x1) because the denominator will result in a 0 and you cannot divide by 0 in mathematics.

Equation of line is given by:

[tex]y=2x+14[/tex]

Step-by-step explanation:

Given points:

[tex](-8,-2)\ and\ (-4,6)[/tex]

Slope of line [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is a point on the line

[tex]m=\frac{6-(-2)}{-4-(-8)}[/tex]

[tex]m=\frac{6+2}{-4+8}[/tex]

[tex]m=\frac{8}{4}[/tex]

∴ [tex]m=2[/tex]

Point-slope equation of line is given by:

[tex]y-y_1=m(x-x_1)[/tex]

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

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

[tex]y-(-2)=2(x-(-8))[/tex]

Simplifying.

[tex]y+2=2(x+8)[/tex]

Using distribution.

[tex]y+2=2x+16[/tex]

Subtracting 2 to both sides.

[tex]y+2-2=2x+16-2[/tex]

[tex]y=2x+14[/tex]

Thus, equation of line is [tex]y=2x+14[/tex]

y=-6 is the equation because both coordinates (-8,-6) & (4,-6) contain the point y=-6.

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x = -4

Step-by-step explanation:

Notice that the two points given, share the same x-value even when the y-value changes. This is because the equation is going to be a vertical line at -4 on the x-axis. Being a vertical line, you cannot take its slope using the slope formula of: m = (y2 - y1) / (x2 - x1) because the denominator will result in a 0 and you cannot divide by 0 in mathematics.

-20

Step-by-step explanation:

slope= (y2-y1)/(x2-x1)

= -22-(-2)/(-4-(-4)

= -20/0

y=2x+14

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<Jayla>

3/-1

Step-by-step explanation:

y = 2x + 14

Step-by-step explanation:

First, you have to find the slope by using

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

In other words,

[tex]\frac{ - 2 - 6}{ - 8 + 4}[/tex]

The slope is 2.

Then you plug the rest into point-slope form (you can use either of the points, I used the first one)

[tex]y - y1 = m(x - x1)[/tex]

Remember that m is the slope.

[tex]y + 2 = 2(x + 8)[/tex]

Distribute the slope to the parenthesis

[tex]y + 2 = 2x + 16[/tex]

Isolate the y variable

[tex]y = 2x + 14[/tex]

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (- 4, - 2)

m = [tex]\frac{-2-2}{-4+2}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2

Answer

y = -3x-14

Step-by-step explanation:

Using the slope formula:

m = (x2-x1)/(y2-y1) where the coordinates are (x1, y1), (x2, y2)

Plug in:

m = (-2+5)/(-4+3) (TO AVOID ERRORS: Make sure your signs are correct!)

And simplify!)

m = -3

Then, use the slope intercept formula

y - y1 = m(x - x1) (use either point its fine)

y + 2 = -3(x +4)

y = -3x - 14

It's a line parallel to the y-axis

Step-by-step explanation:

Note that the similar x value in both coordinates.

Then it's a line drawn parallel to the y-axis

Therefore, the slope is infinite as it makes a right angle with the x-axis.