F + H ARE WRONG HELP ME JIM!
1 answer:
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<h3>Answer:</h3>
y=1/2x
<h3>Solution:</h3>- The slopes of perpendicular lines are opposite reciprocals of each other.
- The simplest way to determine a number's reciprocal is to flip it over, like so:
- Now, change the sign:
- So we have the <em>slope </em>of the line that's <em>perpendicular </em>to the given line.
- Now, let's find the line's equation.
- First, let's write it in Point-Slope Form:
- y-y1=m(x-x1)
- y-(-2)=1/2(x-4)
- y+2=1/2x-2 (Point slope)
- Now, convert to slope-intercept:
- y=1/2x+2-2
- y=1/2x
Hope it helps.
Do comment if you have any query.
Answer:
A. (3,2)
Step-by-step explanation:
One way to solve without graphing
equate both equations to each other:
add x on both sides:
add 4 on both sides:
collect like terms:
divide 3 on both sides, so
now that we have x, go back to any one of the equations and substitute x=3 to find y. I'll use y=2x-4
sub x=3
2 × 3 is 6
we now have x and y, so the coordinates are (3,2)
If you want to use the graphing method, substitute in x values of your choice, for example -2 to 2 into each equation to find y and when there is a same coordinate in both equations that is the solution.
y = 2x - 4
when x is -2, y = 2(-2)-4 = -8. (-2,-8)
when x is -1, y = 2(-1) - 4= -6. (-1,-6)
when x is 0, y = 2(0)-4 = -4. (0,-4)
when x is 1, y = 2(1) - 4 = -2. (1,-2)
when x is 2, y = 2(2) - 4 = 0. (2,0)
when x is 3, y = 2(3) - 4 = 2. (3,2)
do the same thing of substituting to the other equation
y = -x + 5
when x is -2, y is 7 (-2,7)
when x is -1, y is 6. (-1,6)
when x is 0, y is 5. (0,5)
when x is 1, y is 4. (1,4)
when x is 2, y is 3. (2,3)
when x is 3, y is 2. (3,2)
plot these coordinates on a graph
they both have same x value (3) and same y value (2)
