Help i dont get these math questions.?
Write the equation of the line described in slope-intercept form.
A) The line with zero slope and y intercept 5.
B) The perpendicular bisector pf the segment joining (0,8) and (2,-4).
C) The line with y intercept 2 and parallel to 6x-2y=6
- The Black HoleLv 66 years agoFavorite Answer
slope-intercept form of a line is y=mx + b
where m is the slope and b is the y value at which the line crosses the y axis, which is also x = 0.
Recall that slope is the change of the y value divided by the change of the x value between two points.
A zero slope means y does not change between 2 given points on a line. A zero slope line is level.
That means the line is flat all across the graph and is equal to a single y value.
If a line of zero slope and a y intercept of 5, that means the line has the y value of 5 everywhere for all x values.
So m = 0 and b = 5 y = 0x + 5 or y = 5.
B) Perpendicular lines have slopes that are negative reciprocals of each other. That means that if the slope of one line is 3, the slope of a line perpendicular to it will be -1/3 . Recall that perpendicular lines cross at right angles (90 degrees) to each other.
First determine the slope and bisector (mid-point) of the line segment joining (0,8) and (2, -4).
Again, the slope is the change in y over the change in x.
(-4 - 8) / (2 - 0) = -12 / 2 = -6
The mid-point is just half of the distance between the x and y values.
The distance between 2 and 0 is 2, so the mid-point at x is 1.
The distance between 8 and -4 is 12, so the mid-point at y is 8 - 6 = 2.
So the perpendicular bisector will have a slope of 1/6 and intersect at the mid-point (1,2)
The y intercept of the perpendicular line will have an x value of 0.
So using the slope formula (2 - y) / (1 - 0) = 1/6 , we can find the y intercept.
(2 - y) / 1 = 1/6 -> 2 - y = 1/6
-y = 1/6 - 2 or y = 2 - 1/6 = 11/6
So y = 1/6 x + 11/6
c) Parallel lines have the same slope.
6x - 2y = 6 in slope intercept form is
-2y = 6 - 6x -> y = -3 + 3x -> y = 3x -3
So the y intercept is -3 and the slope is 3 .
The line we are trying to express has a y intercept of 2 so plug that into the formula
y = 3x + 2
- icemanLv 76 years ago
A) y = 5
B) m = (-4 - 8)/(2 - 0) = -5
m of perpendicular = 1/5
mid point: [(0 + 2)/2 , (8 - 4)/2] = (1 , 2)
y - 2 = 1/5(x - 1)
y = (1/5)x + 9/5
C) 2y = 6x - 6
y = 3x - 3
m = 3 , b = 2
y = mx + b
y = 3x + 2