Answer:
x = -1.8
Step-by-step explanation:
-9x = 16.2
Divide each side by -9
-9x/-9 = 16.2/-9
x = -1.8
Answer (<u>assuming it can be in slope-intercept form)</u>:
y = -x - 1
Step-by-step explanation:
When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.
1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula,
. I chose the points (0, -1) and (-1, 0):
![m = \frac{(0)-(-1)}{(-1)-(0)} \\m = \frac{0+1}{-1-0} \\m = \frac{1}{-1} \\m = -1](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%280%29-%28-1%29%7D%7B%28-1%29-%280%29%7D%20%5C%5Cm%20%3D%20%5Cfrac%7B0%2B1%7D%7B-1-0%7D%20%5C%5Cm%20%3D%20%5Cfrac%7B1%7D%7B-1%7D%20%5C%5Cm%20%3D%20-1)
Thus, the slope is -1.
2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.
3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b:
![y = -x -1](https://tex.z-dn.net/?f=y%20%3D%20-x%20%20-1)
Answer:
66.7% = 0.667 in decimal form.
Hope that helps!
Answer:
Ratio of x-coordinates:
![\frac{-1}{-2}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B-2%7D%3D%5Cfrac%7B1%7D%7B2%7D)
![\frac{2}{4}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B4%7D%3D%5Cfrac%7B1%7D%7B2%7D)
![\frac{2}{4}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B4%7D%3D%5Cfrac%7B1%7D%7B2%7D)
![\frac{-2}{-4}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B-4%7D%3D%5Cfrac%7B1%7D%7B2%7D)
Ration of y-coordinates:
![\frac{2.5}{5}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2.5%7D%7B5%7D%3D%5Cfrac%7B1%7D%7B2%7D)
![\frac{1}{2}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B2%7D)
![\frac{-2}{-4}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B-4%7D%3D%5Cfrac%7B1%7D%7B2%7D)
![\frac{-2}{-4}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B-4%7D%3D%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
The table is asking for the ratio of x-coordinates for each point (A, B, C and D) for both the image and pre-image. The ratio is the image 'x' or 'y' value ÷ the pre-image 'x' or 'y' value. Each ratio should be expressed in simplest form and should show the same pattern of dilation, or same scale factor. In this case, the second figure is 1/2 the size of the original figure.
Answer:
(2,7)
Step-by-step explanation:
You read it from the point were they intersect