Which is an equation of the line perpendicular to
y
=
−
3
4
x
+
1
and passes through (3, 4)?

y=4/3x

Step-by-step explanation:

Hard to read the question, but if the original equation is y=-3/4x+1, then the perpendicular line is y=4/3x.

The slope of the perpendicular line is just the reciprocal of the original slope with the opposite sign (-3/4 turns to just 4/3). Then you get y=4/3x+b. Solve for b using the point given to you (3, 4). 4=(4/3)*3+b, 4=4+b, b=0. This means that the final equation is y=4/3x (perpendicular line).

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.