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JohnnyRocketfingers
 3 years ago
I need some help with writing an equation of a line thats parallel to y=2x7 and passes through the point (3,4)
JohnnyRocketfingers
 3 years ago
I need some help with writing an equation of a line thats parallel to y=2x7 and passes through the point (3,4)

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rosedewittbukater
 3 years ago
Best ResponseYou've already chosen the best response.1To get a parallel graph, you need to have the same slope m as the original equation. So the new equation would be y=2x+b. Plug in the point to find a line that passes through it. \[4=2(3)+b\] Next you have to find b. \[4=6+b\] \[2=b\] The final equation will be \[y=2x2\]

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0A line that has a given slope, m, and passes through point (x1, y1) has the equation: y = y1 = m(x  x1) You are given a point, (3, 4) which is (x1, y1), so you have x1 = 3, and y1 = 4. All you need is the slope of the parallel line. Parallel lines have the same slope. So the slope you need is the same as the slope of y = 2x  7 y = 2x  7 is written in the slopeintercept form, which is y = mx + b, where m = slope, and b = yintercept Just by looking at y = 2x  7, you can see that the slope is m = 7. Now use m = 7, x1 = 3, and y1 = 4 in the equation of a line above and find the equation of the line.

JohnnyRocketfingers
 3 years ago
Best ResponseYou've already chosen the best response.0thanks this really helped me out guys
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