Find equations of the lines passing through (-3,5) and having the following characteristics:
a. Slopeof 7 16
b. Slopeof−2 3
c. Parallel to the line 5x-3y=3
d. Perpendicular to the line 3x+4y=8
e. Parallel to the y axis
f. Parallel to the x axis

the f

last graph i believe

step-by-step explanation:

worked it out i believe

answerthe vertex form

step-by-step explanation:

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: