Lines m and n are graphed on the coordinate plane below select all of the statements that are true

a) line m has a positive slope
b) line m has a negative slope
c) line n had a positive slope
d) line n has a negative slope
e) line m's y-intercept is greater than n's y-intercept
f) lines m and n have the same y-intercept

the answers are: b, c, and e

Step-by-step explanation:

since line m is pointing down, the slope is negative

since line n is pointing up, the slope is positive

since line m's y intercept is 2, and line n's intercept is -3, and 2 is greater than -3, the y intercept for line m is greater than that of line n

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

2 pecks

step-by-step explanation: