1. ## Gradient And Straight Line

I'm completely stumped with two of my maths hw questions, and it's due for tomorrow :S

1. Find the equation of the line passing through P(4, 6) which is parallel to the line with equation 4x - 2y + 6 = 0.

And

2. A straight line had equation 3y - 2x = 6.
Find the gradient and y-intercept of the line.

2. Originally Posted by leapoffaith
I'm completely stumped with two of my maths hw questions, and it's due for tomorrow :S

1. Find the equation of the line passing through P(4, 6) which is parallel to the line with equation 4x - 2y + 6 = 0.

And

2. A straight line had equation 3y - 2x = 6.
Find the gradient and y-intercept of the line.

1) First find the slope of 4x - 2y + 6 = 0

Then, use the point-slope form of the equation to define another line through P(4, 6) using the same slope. (Slopes of parallel lines are equal)

y - y1 = m(x - x1)

2) Solve the equation for y.

y = mx + b

b = y-intercept

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# the equation of a straight line is given by 3y=2x-6

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