What is the slope between the points (5,-4) and (-3,4) -1 4 0 1
1 answer:
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Answer:
Step-by-step explanation:
Slope-intercept form of a <u>linear equation</u>:
where:
- m is the slope.
- b is the y-intercept (where the line crosses the y-axis).
<u>Slope formula</u>
<u>Equation 1</u>
<u />
Define two points on the line:
<u>Substitute</u> the defined points into the slope formula:
From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.
Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:
<u>Equation 2</u>
<u />
Define two points on the line:
<u>Substitute</u> the defined points into the slope formula:
From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.
Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:
<u>Conclusion</u>
Therefore, the system of linear equations shown by the graph is:
Learn more about systems of linear equations here:
See the attached figure to better understand the problem
we know that
in the triangle BCD
y²+5.66²=z²-------> y²=z²-5.66²------> equation 1
in the triangle ABC
y²+5.66²=x²-------> y²=x²-5.66²------> equation 2
equals 1 and 2
z²-5.66²=x²-5.66²--------> z²=x²---------> z=x
if z=x then
angle A=45°
angle D=45°
in the triangle ABD
cos 45=z/(5.66*2)-------> z=11.32*cos 45-----> 11.32*√2/2----> 8
z=8
x=8
y²=z²-5.66²------> 8²-5.66²-----> y²=31.96------> y=5.65
the answer is
the value of x is 8
the value of z is 8
the value of y=5.65
we know that
in the triangle BCD
y²+5.66²=z²-------> y²=z²-5.66²------> equation 1
in the triangle ABC
y²+5.66²=x²-------> y²=x²-5.66²------> equation 2
equals 1 and 2
z²-5.66²=x²-5.66²--------> z²=x²---------> z=x
if z=x then
angle A=45°
angle D=45°
in the triangle ABD
cos 45=z/(5.66*2)-------> z=11.32*cos 45-----> 11.32*√2/2----> 8
z=8
x=8
y²=z²-5.66²------> 8²-5.66²-----> y²=31.96------> y=5.65
the answer is
the value of x is 8
the value of z is 8
the value of y=5.65