Ok, so first, the y-intercept is always the last number. So the y-intercept for the first equation would be -1, and for the second equation, 4.
Put a dot, or a point on -1and 4 on the graph.
The slope is always he number with an x.
So the slope would be 3 for the first equation.
And the slope for the 2nd equation would be -2.
If the slope doesn't have a denominator, put 1 as it's denominator.
So, 3x would turn into
![\frac{3x}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%7D%7B1%7D%20)
And -2x would turn into
![\frac{ - 2x}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%202x%7D%7B1%7D%20)
So the rule for slope is:
![\frac{rise}{run}](https://tex.z-dn.net/?f=%20%5Cfrac%7Brise%7D%7Brun%7D%20)
So, go to your -1, and go up 3 and 1 right. Keep doing that until you reach the end of the graph.
Now, go to your -4, go down 2 and go left 1. Keep doing that until you reach the end of the graph.
Now, draw the lines.
I'll show on piece of paper how to do this if you dont get the explanation I gave.
Answer:
2x-8+32
Step-by-step explanation:
2 × x = 2x
2 × -4 = -8
+32
The probe dropped 11 feet per minute, therefore, it dropped 11 feet in the first minute
Answer:
<h2>b = 6</h2>
Step-by-step explanation:
![cosecant=\dfrac{hypotenuse}{opposite}\\\\\text{We have}\ opposite=3b,\ \text{and}\ hypotenuse=22.5,\ \text{and}\ \csc x=\dfrac{5}{4}.\\\\\text{Substitute:}\\\\\dfrac{5}{4}=\dfrac{22.5}{3b}\qquad\text{cross multiply}\\\\(5)(3b)=(4)(22.5)\\\\15b=90\qquad\text{divide both sides by 15}\\\\b=6](https://tex.z-dn.net/?f=cosecant%3D%5Cdfrac%7Bhypotenuse%7D%7Bopposite%7D%5C%5C%5C%5C%5Ctext%7BWe%20have%7D%5C%20opposite%3D3b%2C%5C%20%5Ctext%7Band%7D%5C%20hypotenuse%3D22.5%2C%5C%20%5Ctext%7Band%7D%5C%20%5Ccsc%20x%3D%5Cdfrac%7B5%7D%7B4%7D.%5C%5C%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5C%5Cdfrac%7B5%7D%7B4%7D%3D%5Cdfrac%7B22.5%7D%7B3b%7D%5Cqquad%5Ctext%7Bcross%20multiply%7D%5C%5C%5C%5C%285%29%283b%29%3D%284%29%2822.5%29%5C%5C%5C%5C15b%3D90%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%2015%7D%5C%5C%5C%5Cb%3D6)
An integer generated by chance is an integer (a whole number) that has been generated by a method that is completely random and unaffected by bias.