Q:

Through :(4,2),parallel to y =-3/4x-5Solve for y

Accepted Solution

A:
Answer:y = [tex]\frac{ - 3}{4}[/tex] x + 5 Step-by-step explanation:The Line equation is:y = [tex]\frac{- 3}{4} x - 5[/tex] The line equation is in the form of y = m x + cSlop of this line is (m1) = [tex]\frac{ - 3}{4}[/tex]Let another line with slop (m2) , passes through point (4 , 2)As per question the another line is parallel to the given line equation So, slop of both the lines are  equal  ∴ (m2) = (m1) = [tex]\frac{ - 3}{4}[/tex] Hence equation of another line with slop [tex]\frac{ - 3}{4}[/tex] and passing through points ( 4 , 2) is y - y1 = (m2) (y - x1)I.e  y - 2 = [tex]\frac{ - 3}{4}[/tex] (x - 4)Or,  [tex]4\times (y -2) = (- 3)\times (x - 4)[/tex] Or , 4y - 8 =  -3x + 12 Or,   4y     =  -3x + 12 + 8Or , 4y      =  -3x + 20∴        y = [tex]\frac{ - 3}{4}[/tex] x + 5 Hence The value of y = [tex]\frac{ - 3}{4}[/tex] x + 5    Answer