4x - 3y - 7 = 0 -3y = -4x + 7 y = 4/3x - 7/3....slope here is 4/3
A. a parallel line will have the same slope
y = mx + b slope(m) = 4/3 (-2,1)...x = -2 and y = 1 sub and find b, the y int 1 = 4/3(-2) + b 1 = -8/3 + b 1 + 8/3 = b 3/3 + 8/3 = b 11/3 = b
so ur parallel line is : y = 4/3x + 11/3
B. A perpendicular line will have a negative reciprocal slope. To get the negative reciprocal of a number, u flip the number and change the sign. So our perpendicular line will need a slope of -3/4
y = mx + b slope(m) = -3/4 (-2,1)...x = -2 and y = 1 sub and find b, the y int 1 = -3/4(-2) + b 1 = 3/2 + b 1 - 3/2 = b 2/2 - 3/2 = b -1/2 = b