SOLUTION: Find an equation of a straight line through the point P (2, 3) and parallel to line 3x+5y=10

Question 662639: Find an equation of a straight line through the point P (2, 3) and parallel to line 3x+5y=10
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
You need to find the slope of the given line
(1) 3x + 5y = 10 which is given in the standard form
(2) Ax + By = C whose slope is given by
(3) m = -A/B which, for the given line, yields
(4) m = -3/5.
To be parallel to this line, the new line must have the same slope. In the slope-intercept form we want
(5) y = -3/5x + b.
We deterine the value of b by satisfying the second condition that it must pass through P(2,3). Substituting P into (5) yields
(6) 3 = -3/5(2) + b
Solve (6) for b gives
(7) b = 21/5
Your new line is
(8) y = -(3/5)x + 21/5
Let's use P(2,3) to check the equation.
Is (3 = -(3/5)*2 + 21/5)?
Is (3 = -6/5 + 21/5)?
Is (3 = 15/5)?
Is (3 = 3)? Yes
Answer: The new line is y = -(3/5)x + 21/5
RELATED QUESTIONS
A straight line is parallel to y=-3x+2 and passes through (2,-1). 1)Find the gradient (answered by richwmiller)

Find an equation of a straight line that passes through the point (2,3) and is parallel... (answered by drk,JimboP1977)

a) Find the intersection point for equations 5x + 3y = 12 and 10x � 2y = 8. b) Find... (answered by nant_87)

Please help me find an equation of the straight line that passes through the point (2,3)... (answered by solver91311,josgarithmetic)

Find an equation of a line parallel to y=4x+5y and passing through the point (5,... (answered by richwmiller)

Find the equation of straight line passing through the point (2,3) and parallel to the... (answered by Alan3354)

find the equation of the line which passes through the point ( -2, 1 ) and is parallel to (answered by Alan3354,MathLover1)

find the equation of a line parallel to 2x-5y=10 and passes through the point (-2, -3) IN (answered by jim_thompson5910)

Find the equation of a straight line passing through A(2-3) and parallel to B(4,1) and... (answered by josgarithmetic)