Answer: y= -3/7x - 30/7
Step-by-step explanation:
Answer:
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Answer:
a=19
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the numbers be x and y.
<u>The equations are:</u>
<u>Add up the equations to eliminate y and solve for x:</u>
- x - y + 2x + y = 2 + 13
- 3x = 15
- x = 15/3
- x = 5
<u>Now find the value of y:</u>
- y = x - 2
- y = 5 - 2
- y = 3
Answer:
Slope = 2
Y-Intercept = 4
Equation of Line is y=2x+4
Step-by-step explanation:
y-intercept is the point in the y-axis, where the line cuts it. So, looking at the graph, the y-intercept would be y = 4
To figure out the slope, we take any two points and calculate using the formula:
![m=\frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Where, m is the slope
is the first coordinate, and
is the second coordinate
<em>Let's take two points as: (-2,0) & (-1,2)</em>
<em />
Plugging these into the formula we get the slope as:
![m=\frac{y_2 - y_1}{x_2 - x_1}\\m=\frac{2-0}{-1--2}=\frac{2}{1}=2](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%5C%5Cm%3D%5Cfrac%7B2-0%7D%7B-1--2%7D%3D%5Cfrac%7B2%7D%7B1%7D%3D2)
Hence slope is 2
Equation of the line is given as y = mx + b, where m is the slope (in our case 2) and b is the y-intercept (in our case 4). Thus:
Equation of Line: ![y=2x+4](https://tex.z-dn.net/?f=y%3D2x%2B4)