Answer:
![y=-\frac{5}{3} x-\frac{42}{5}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B5%7D%7B3%7D%20x-%5Cfrac%7B42%7D%7B5%7D)
Step-by-step explanation:
Given the slope and another point, simply plug them into the point-slope formula to find your y-intercept.
![y-y1=m(x-x1)\\y-(-6)=\frac{3}{5} (x-4)\\y+6=\frac{3}{5} x-\frac{12}{5} \\y=\frac{3}{5} x-\frac{42}{5}](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29%5C%5Cy-%28-6%29%3D%5Cfrac%7B3%7D%7B5%7D%20%28x-4%29%5C%5Cy%2B6%3D%5Cfrac%7B3%7D%7B5%7D%20x-%5Cfrac%7B12%7D%7B5%7D%20%5C%5Cy%3D%5Cfrac%7B3%7D%7B5%7D%20x-%5Cfrac%7B42%7D%7B5%7D)
Now that we've found your y-intercept, we have the original equation. To find the perpendicular equation, you need the opposite reciprocal of your slope.
To find the 'opposite,' change your slope's sign. Since your slope is positive
, the opposite is
.
To find the 'reciprocal,' flip your fraction. This will make your slope
.
Your final equation is:
![y=-\frac{5}{3} x-\frac{42}{5}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B5%7D%7B3%7D%20x-%5Cfrac%7B42%7D%7B5%7D)
Answer:
D) -3
Step-by-step explanation:
Slope of a linear function:
The slope of a linear function is the amount by which y changes when x increases by 1.
In this question:
When x = 1, y = 12
When x = 2, y = 9
When x = 3, y = 6
When x = 4, y = 3
So each time x increases by 1, y decreases by 3, which means that the slope is -3, and the answer is given by option D.
On the first one you do 2x 2x2 • 2x2x2x2x2 = 60
Answer:
7:36
Step-by-step explanation: