How do I do these?

explanation below

Step-by-step explanation:

line is parallel

so you know that the slope will be the same as the equation provided, so for the first question, the slope is -6

line is perpendicular

the slope will be the negative reciprocal (imagine the number as a fraction if not already, then flip it upside down or switch the top and bottom) and add a negative sign. For the second one, the slope will be -3/2

to find the y intercept, you will add or subtract a number to the x value to get that value to equal 0, then you will multiply that number (it will be negative if you subtracted) to the slope, and that will be your y value. So your y intercept that you found should look like this (0,y) with the y value being whatever you just found.

with the format of slope intercept form y=mx+b you can now substitue your values in with m being the slope and b being the y value of your y intercept.  

let me know if you have any other questions :))

step-by-step explanation:

your mom

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4