Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
She invested.. .say "a" amount on the 4% and "b" amount on the 5% one
now, she lost the 4% one or "a", so... that'd be a negative amount
now, we know both investments added together add up to 9000
and we also know the "net" receipts for the yield was 351, that simply means that whatever "b" and "a" yielded, ended up as 351
so.. what's 4% of a? well (4/100) * a or 0.04a
what's 5% of b? well (5/100) * b or 0.05b
since "a" was a loss(negative), then we know the net yield is => b - a = 351
thus

solve for "b", to see how much was invested at 5%
what about a? well, a = 9000 - b
Step-by-step explanation:
=0.2(y+2)
=0.2(y)+0.2(2)
=0.2y+0.4
hope it help u..
Answer:
x = 125
Step-by-step explanation:
4 hrs : 200 mi
2.5 hrs : x mi
4/2.5 = 1.6 hrs
200/1.6 = 125 mi
x = 125 mi