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Vilka [71]
2 years ago
13

Find the equation of the line specified. The line passes through the points (-2, 3) and (-4, 7) a. y = -2x - 1 b. y = -2x + 3 c.

y = -4x - 1 d. y = -2x + 7 Please select the best answer from the choices provided A B C D. ​
Mathematics
1 answer:
Soloha48 [4]2 years ago
8 0

Answer:

Step-by-step explanation:

To do this we will first use the slope formula to find the slope of the line. Given 2 points, you can't do anything else BUT find the slope. Always start there. The slope formula is:

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

Plugging in our values from the points where y2 is 7, y1 is 3, x2 is -4 and x1 is -2:

m=\frac{7-3}{-4-(-2)}=\frac{7-3}{-4+2}=\frac{4}{-2}=-2

So the slope is -2. Now we will pick either point and use the x and y coordinates to fill in the point-slope form of a line, which is:

y-y_1=m(x-x_1)

where y1 and x1 are the coordinates from the point we pick, and m is the slope we just solved for. It doesn't matter which point you pick to use as your x and y coordinates; either one will give you the exact same equation...PROMISE!!

I chose (-2, 3), no reason in particular. x1 is -2 and y1 is 3:

y-3=-2(x-(-2)) which simplifies a bit to

y - 3 = -2(x + 2) and a bit more to

y - 3 = -2x - 4 and even more to

y = -2x - 4 + 3 and finally to our final line in slope-intercept form:

y = -2x - 1

Choice a.

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Step-by-step explanation:

i =  \sqrt{ - 1}  \\ (3 - 4i)( - 6 + i) \\  = (3 - 4 \sqrt{ - 1} )( - 6 +  \sqrt{ - 1} ) \\  = 3( - 6 +  \sqrt{ - 1)}  - 4 \sqrt{ - 1} ( - 6 +  \sqrt{ - 1} ) \\  =  - 18 + 3 \sqrt{ - 1}  + 24 \sqrt{ - 1}  - 4 \\  =  - 22 + 27 \sqrt{ - 1} \\ putting \:  \:  \:  \sqrt{ - 1 }  = i \\  =  - 22 + 27i

Hope it helps.

Don't forget to click the Brainliest button if you like my answer.

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