Y=5x - 3
Because the difference in the y values are 5, the rise is 5. That is the TOP of the slope. The difference in the x values is 1, that is the run or the BOTTOM of the slope. So m = 5/1.
Using y = mx + b
2 = 5(1) + b
-3 = b
Therefore, y = 5x -3
Answer:
30=2*3*5, so it's 30
Step-by-step explanation:
15=3*5, so it's not 15
20=2*2*5, so it's not 20
30=2*3*5, so it's 30
57=19*3, so it's not 57
Answer: 10
Explanation: you need to first find the area of the triangle which would be 2x2x1/2 then you find the area of the rectangle which is 4x2 so 8+2=10
As there is no any equation, I can't answer your question.
Answer:
The distance between the pair of points is 12.0 (to the nearest tenth)
Step-by-step explanation:
The distance between a pair of points in a coordinate system is found by the formula:
d =![\sqrt({x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%28%7Bx_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
where, the points are:
![(x_1,y_1)\ and\ (x_2,y_2)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%5C%20and%5C%20%28x_2%2Cy_2%29)
From the graph,
![(x_1,y_1)=(-6,-2)\\(x_2,y_2)=(2,7)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%28-6%2C-2%29%5C%5C%28x_2%2Cy_2%29%3D%282%2C7%29)
Substitute the points into the formula:
![d=\sqrt{(2-(-6)^2+(7-(-2)^2} \\d=\sqrt{(2+6)^2+(7+2)^2} \\d=\sqrt{8^2+9^2} \\d=\sqrt{64+81} \\d=\sqrt{145} \\\d=12.0](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%282-%28-6%29%5E2%2B%287-%28-2%29%5E2%7D%20%5C%5Cd%3D%5Csqrt%7B%282%2B6%29%5E2%2B%287%2B2%29%5E2%7D%20%5C%5Cd%3D%5Csqrt%7B8%5E2%2B9%5E2%7D%20%5C%5Cd%3D%5Csqrt%7B64%2B81%7D%20%5C%5Cd%3D%5Csqrt%7B145%7D%20%5C%5C%5Cd%3D12.0)