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Compassionate
 one year ago
find the point where a line with slope 1 and yintercept (0, 4) intercepts a line through P(4, 8) and Q(2, 1). What is the point of intersection
Compassionate
 one year ago
find the point where a line with slope 1 and yintercept (0, 4) intercepts a line through P(4, 8) and Q(2, 1). What is the point of intersection

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0`the point where a line with slope 1 and yintercept (0, 4)` y=mx+b slope intercept form where m is slope and b is yintercept now plugin m and b value

Compassionate
 one year ago
Best ResponseYou've already chosen the best response.0I get that, but why do I need to know points P and Q. Why are they even in the problem.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0you have to find 2nd equation through those (p and q) points

Compassionate
 one year ago
Best ResponseYou've already chosen the best response.0y = mx + b y = 1x + 4

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0then we can graph both equations to find out the intersection point dw:1443817214823:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0right can you write the equation that passes through p and q points ??

Compassionate
 one year ago
Best ResponseYou've already chosen the best response.0P(4, 8) and Q(2, 1) y = 1x + 4 8 = 4 + 4 = 8 1 = 1(2) + 4 1 = 2? I don't know

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0hmm nope alright let's write the equation first we need to find the slope \[\huge\rm m=\frac{ y_2 y_1 }{ x_2 x_1 }\]now substitute x's and y's values from this order pair (4,8)(2,1)

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0\[\rm (\color{ReD}{4},\color{blue}{8})(\color{orange}{2},\color{green}{1})\] \[\rm (\color{ReD}{x_1},\color{blue}{y_1})(\color{orange}{x_2},\color{green}{y_2})\]

Compassionate
 one year ago
Best ResponseYou've already chosen the best response.0I'm just having trouble understanding what they're even meaning. What point of intesection am I trying to find?

Compassionate
 one year ago
Best ResponseYou've already chosen the best response.0(4,8)(2,1) 1  8 2  4 9 6 1.5

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0intersect point of equation y=1x+ 4 and PQ points it's same as `system of equations` questions where we have the 2 equations and we should find x and y values by using elimination/addition graphing matrices method

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0for this question the problem is they want us to find 2nd equation from PQ points

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.01.5 is right but better to keep it in fraction \[\huge\rm y=\frac{ 3 }{ 2 }x+b\] replaced m with slope which is 3/2 now we can pick one of the point to find yintercept let's use point Q (2,1) substitute x and y for (2,1) solve for b \[1= \frac{ 3 }{ 2 }(2)+b\] b= ??

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0well pretty sure you know how to solve for b \[\rm 1=\frac{ 3 }{ \cancel{2} }(\cancel{2})+b\] \[\rm 1=3+b\] move to the left side \[\rm 1+3=b\] b=2 so 2nd equation (PQ) would be y=3/2x +2 `first equation` \[\large\rm y=1x+4\] `2nd equation` \[\large\rm y=\frac{ 3 }{ 2 }x+2\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0now we have two equations there are 4 ways to solve for x and y (in other words to find intersection point ) substitution graphing elimination/addition matrices ~~~ graphing one is easy if both equations are in standard form then u should use elimination and if one of the equations solved for either x or y variable then you can use substitution

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0for this question substitution would be easy :=)
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