farhanshrr
In the xy-coordinate plane, the slope of line ℓ is three fourths. Does line ℓ pass through the point open paren negative two thirds comma one half close paren ? (1) Line ℓ passes through the point (4,4). (2) Line ℓ passes through the point (–4,–2).
If I understand correctly it’s asking whether the line passes through (-2/3,1/2)? Given : line has slope of (3/4)
Using Y = MX + C
M = 3/4
From 1 ... (4,4) .... 4 = (4)*(3/4) + c .. c= 1
Now, put values of (-2/3,1/2) in eqn ... 1/2= (-2/3)*(3/4) + 1 ...this is true ... sufficient
Same for 2....
(-4,-2) ... -2 = (-4*3/4) + c .... C is 1
Put the values and again it will satisfy the eqn ... sufficient
Answer is D
You don’t have to check the whether the point passes or not, just having the value of c suffices