Can someone help me out with these?"write a linear equation for line m,n,l,p"
2 answers:
m: y=-2x+4
<u>slope: 2</u>
2/1=2
Its negative because the line is going down from left to right
<u>y-intercept:</u>
it crosses the y axis at (0,4)
n: y=x-1
<u>slope: 1</u>
1/1=1
Its positive because the line is going up from left to right
<u>y-intercept:</u>
it crosses the y axis at (0,-1)
l: y=4
<u>slope: 0</u>
A vertical line's slope is always 0
<u>y-intercept:</u>
it crosses the y axis at (0,4)
p: x=-4
To find the equation for a horizontal line, you need to find what x always is no matter what.
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The line g(x) has slope ...
(change in y)/(change in x) = (-18 -(-20))/(1 - 0) = 2
so can be written in slope-intercept form as
g(x) = 2x -20
The x-intercept of this line is at x=10.
0 = 2x -20 . . . . the x-intercept is where g(x) = 0
20 = 2x
10 = x
The circle also intersects the x-axis at x=10, so that will be one point that is shared by the circle and g(x). A graph shows there is also another point of intersection, (6, -8).
Yes, the linear function g(x) will intersect the circle at 2 points with positive x-coordinates.
(change in y)/(change in x) = (-18 -(-20))/(1 - 0) = 2
so can be written in slope-intercept form as
g(x) = 2x -20
The x-intercept of this line is at x=10.
0 = 2x -20 . . . . the x-intercept is where g(x) = 0
20 = 2x
10 = x
The circle also intersects the x-axis at x=10, so that will be one point that is shared by the circle and g(x). A graph shows there is also another point of intersection, (6, -8).
Yes, the linear function g(x) will intersect the circle at 2 points with positive x-coordinates.