Write the equation of a line in SLOPE-INTERCEPT FORM that goes through (7,-3) and (6,-8).
2 answers:
Slope formula: y2-y1/x2-x1
-8-(-3)/6-7
-5/-1
5
Find the y-intercept with the formula for slope intercept form.
y = mx + b
-3 = 5(7) + b
-3 = 35 + b
-3 - 35 = 35 - 35 + b
-38 = b
Fill in what we have:
y = 5x - 38
Best of Luck!
Answer:
y = 5x-38
Step-by-step explanation:
The slope is m = (y2-y1)/(x2-x1)
= (-8 - -3)/(6-7)
= ( -8+3)/(-1)
=-5/-1
=5
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 5x+b
Substitute a point into the equation
-8 = 5(6) +b
-8 = 30+b
-8-30 = 30-30+b
-38 = b
y = 5x-38
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
Step-by-step explanation:
Let,
= y
sin(y) = 


---------(1)


cos(y) = 
= 
= 
Therefore, from equation (1),

Or ![\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Ctext%7Bsin%7D%5E%7B-1%7D%28%5Cfrac%7Bx%7D%7B6%7D%29%5D%3D%5Cfrac%7B1%7D%7B6%5Csqrt%7B1-%5Cfrac%7Bx%5E2%7D%7B36%7D%7D%7D)
At x = 4,
![\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Ctext%7Bsin%7D%5E%7B-1%7D%28%5Cfrac%7B4%7D%7B6%7D%29%5D%3D%5Cfrac%7B1%7D%7B6%5Csqrt%7B1-%5Cfrac%7B4%5E2%7D%7B36%7D%7D%7D)
![\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Ctext%7Bsin%7D%5E%7B-1%7D%28%5Cfrac%7B2%7D%7B3%7D%29%5D%3D%5Cfrac%7B1%7D%7B6%5Csqrt%7B1-%5Cfrac%7B16%7D%7B36%7D%7D%7D)



