Question

Line K is represented by the equation y = 2x + 2. Line T goes through the points (–3, 3) and (6, 12). What is the point of intersection for lines K and T?

Answer 1

The point of intersection is (4,10)

Step-by-step explanation:

Line K is represented by the equation

$y=2x+2$

Line T goes through the points (-3,3) and (6,12), so its slope is

$m=\frac{12-3}{6-(-3)}=\frac{9}{9}=1$

We can now find the equation of the line using

$y-y_0 = m(x-x_0)$

and using the point $(x_0,y_0)=(-3,3)$, we get

$y-3=1(x-(-3))\\y-3=x+3\\y=x+6$

So the equation of line T is

$y=x+6$

Now we can find the point of intersection between the lines K and T requireing that their y-coordinate is the same:

$2x+2=x+6\\2x-x=6-2\\x=4$

And substituting into one of the two equations to find the y-coordinate,

$y=x+6=4+6=10$

Therefore, the point of intersection is (4,10).

Learn more about intersection between lines:

brainly.com/question/3414323

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