The equation y=2x+1 has the same slope , so will be parallel to the given line.
<h3>What is a linear function ?</h3>
A function that can be represented in the form of y =mx +c , is called a Linear Function.
here m is the slope and c is the y intercept.
The slope of the given line can be found as follows
The y intercept is 4
at x = -2 , y =0
0 = -2m + 4
m = 2
The line parallel to this line will have the same slope
In the given option , Option C , y=2x+1 has the same slope , so will be parallel to the given line.
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- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
- Slope Formula:

So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:

Next, plug either one of the points into the x and y coordinates to solve for b as such:

<u>Our final equation is
, or the third option.</u>
Answer:

Step-by-step explanation:
use
a^2 +b^2=c^2