SOLUTION: could i get some help with this? (a) Find the point of intersection between the following two lines: (x; y) = (1, 2) + t(4; 3); t is an element of the Real numbers (x; y) = (

Question 940705: could i get some help with this?
(a) Find the point of intersection between the following two lines:
(x; y) = (1, 2) + t(4; 3); t is an element of the Real numbers
(x; y) = (2,-1) + s(1; 2); s is an element of the Real number
steps would be appreciated cheers
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You can get the slope of the lines since you have the formula for each point.
Assume then the change in y is 3, change in x is 4 so the slope is,

So line 1 is, using the point-slope form,

Similarly for line 2,

For intersection, set the two equal to each other.

(5,5)
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