Get to y=mx+b form
m=slope
b=yint
2x-y=4
minus 2x from both sides
-y=-2x+4
times -1
y=2x-4
slope=2
yint=-4
equation of horizontal line is y=value
slope=rise/run, so rise is 0 and run is inifnity so 0 is slope
ycoordinate oof every point of a horizontal ine is the value above mentioned (value)
equation of vertical line is x=value
slope is rise/run, since run=0, it is infinity/0 which is undefined, slope=undefined
xcoordinate is equalt to the value (x=value)
general form of the equation of a line is y=mx+b or ax+by=c
every line has an equation that can be writeen in slope-intercept form
the line may not visually appear to have the slope indecated because somethimes the tick marks are not equal distance (use square viewer)
Determine the slope and y-intercept of the linear equation 2x - y = 4
2
The equation of a horizontal line is y=value. The slope of a
horizontal line is 0. The y-coordinate of every point on the
graph of a horizontal line is value (the one from y=value). The equation of a vertical
line is x=value. The slope of a vertical line is undefined.
The x-coordinate of every point on the graph or vertical line is value (x=value). The general form of the equation of a line is ax+by=c. Every line has an equation that can be written in slope-intercept form. When a graphing utility is used to sketch a straight
line, the graph of the line may not visually appear to have the slope
indicated by its equation because the tick marks are not equally spaced
Answer:
Bench costs $325
Step-by-step explanation:
Try setting up an equation
x = cost of garden table
y = cost of bench
equation 1: x + y = 585
We also know that the table costs 65 dollars less than the bench.
cost of garden table = bench - 65
or
equation 2: x = y - 65
Now just substitute equation 2 into equation 1
(y-65) + y = 585
and solve for y
2y-65 = 585
2y = 585 + 65 = 650
y = 325 = cost of bench
The equation of the circle with center at (2,-4) and tangent to the line x = -2 is given by:
(2) (x - 2)² + (y + 4)² = 16
<h3>What is the equation of a circle?</h3>
The equation of a circle of center
and radius r is given by:

The circle has center at (2,-4), hence
.
The center is tangent to the line x = -2, hence it has a point at x = -2, since |-2 - 2| = 4, r = 4 -> r² = 16.
Hence the equation of the circle is given by:
(2) (x - 2)² + (y + 4)² = 16
More can be learned about the equation of a circle at brainly.com/question/24307696
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Equivalent to 180 degrees.
90 degrees clockwise +90 degrees