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7) Write the equation of the line that passes through (-4,4) and (2,10)​


Sagot :

Answer:

y=x+8

Step-by-step explanation:

m=y2-y1/x2-x1

First you choose one of your coordinate points to be 1 and one to be 2.

Then you substitute your x and y values into the equation above.

That way, you find the slope of the line.

For example i chose (-4,4) to be point 1 and (2,10) to be point 2.

m=10-4/2-(-4)

m=6/6

m=1

Next, you write the equation of a line.

y=mx+b

and you substitute the x and y values of one coordinate point into the equation. You also put m(slope) in, the one you just solved for.

I chose to substitute (2, 10)

10= 1(2)+b

Next, you solve for b

10=2+b

10-2=b

b=8

Now that you have b and your slope, you substitute those into the second equation

y=1x+8 or

y=x+8