Y=.3125x - 14.6875 or y=5/16x - 235/16
The value of x is 3 units.
We know that a portion of a line with two endpoints is referred to as a line segment. A line segment, in contrast to a line, has a known length. A line segment's length can be calculated using either metric measurements like millimeters or centimeters, or conventional measurements like feet or inches.
Given that FH is a line segment and FH = 18 units. G is a point on FH such that FG = 4x units and GH = 2x units.
So, we can write
4x + 2x = 18
i.e. 6x = 18
i.e. x = 18/6 = 3
Then, the value of x is 3 units. So, the first option is correct.
Learn more about line segments here -
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-4x+2y=24 is in standard form.
2y=4x+24
y=2x+12 is slope form reduces
y=mx+b
m=2 b=12
There is no choice for the correct answer
a) (0, 1)
The graph will cross the y-axis at the y-intercept. We can easily find this value by putting the given equation into slope-intercept form (y = mx + b).
y - 4x = 1
y = 4x + 1
The y-intercept is (0,1).
b) k = 6.5
We first need to find c, or the y-intercept. This is given to us on the graph, where the line crosses the y-axis at (0,-3).
Therefore, our line is y = 2x - 3.
Then, we can plug in 10 for y from the point (k,10) and solve for k (which is the same as x).
10 = 2x - 3
13 = 2x
x = 6.5
Hope this helps!