Answer:
Step-by-step explanation:
<u>Given:</u>
- The slope m = -5 and point (2, -9)
<u>Use point slope form:</u>
- y - y₁ = m(x - x₁), where (x₁, y₁) is the given point
<u>So the equation is:</u>
- y - (-9) = -5(x - 2)
- y + 9 = -5x + 10
- y = -5x + 1
we can always find the x-intercept of any equation by simply setting y = 0, so let's do so
![\bf 4x+3y=36\implies 4x+3(\stackrel{y}{0})=36\implies 4x=36\implies x=\cfrac{36}{4}\implies x = 9 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (9~~,~~0)~\hfill](https://tex.z-dn.net/?f=%5Cbf%204x%2B3y%3D36%5Cimplies%204x%2B3%28%5Cstackrel%7By%7D%7B0%7D%29%3D36%5Cimplies%204x%3D36%5Cimplies%20x%3D%5Ccfrac%7B36%7D%7B4%7D%5Cimplies%20x%20%3D%209%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20%289~~%2C~~0%29~%5Chfill)
Answer:
Slope of Function B = 2 x Slope of Function A.
Step-by-step explanation:
The graph of Function B shows its slope to be 4 units up for 1 unit to the right, so 4.
The equation for Function A shows its slope to be the coefficient of x, so 2.
___
4 is 2 times 2, so ...
the slope of Function B is 2 times the slope of Function A.
Answer:
To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest.
Step-by-step explanation:
You have already done half of it. Now substitute for x1 = 4 and y = 5
y - 5 = 6/7(x - 4)
Multiply everything by 7 to remove fractions
7y - 35 = 6(x - 4)
7y - 35 = 6x - 24
-6x + 7y = -24 + 35
-6x + 7y = 11
Some people prefer a positive number in front of x so multiply by -1
6x - 7y = -11
You can check the answer by testing it works for both of the original points
6x4 - 7x5 = 24 - 35 = -11 true
6x-3 - 7x-1 = -18 - -7 = -11 true
