X + 2y = 8 could be written as 2y=8-x or y = -(1/2) x +8
L is passing through the origin, so her equation is y₁ =mx.
Calculating a (its coefficient or slope) will solve the problem.
We know that L (represented by y₁) is perpendicular to y = -(1/2) x +8 We know also that 2 lines to be perpendicular, the product of their slope (m₁ & m₂) should be equal to - 1 In our case the 1st slope is (-1/2) & the 2nd slope is m, hence (-1/2) *m = -1===> m =2 & the equation of line L=2x
Step-by-step explanation: 2x - y = 0 is correct. The given line has slope -
1
/2
, so line L must have slope 2. Solving choice B for y yields y = 2x, which passes through the origin.
