Answer:
y = 2x + 3
Step-by-step explanation:
To find the equation of a line, you need 2 things:
1) gradient/slope
2) 1 set of x and y coordinates
To find the slope:
If 2 lines are parallel, they have exactly the same gradient.
So, this line will have a slope of 2 as well (the slope of a line is the coefficient of x in the equation).
To find the equation of the line:
<u>Start with this generic equation:</u>
y - y1 = m (x-x1)
<u>We know that:</u>
(x1, y1) -> (-2, -1) and m= 2
<u>So, we can substitute for the equation:</u>
y- (-1) = 2 (x -(-2))
<u>Simplify, by expanding the brackets:</u>
y + 1= 2 (x+2)
y + 1 = 2x + 4
<u>Rearrange for y:</u>
y = 2x + 3
To double check:
1) The coefficient of x is the slope, we have 2x and the slop is 2, so that's correct
2) Sub in x= -2, and you should get y=-1
y = -4 + 3 = -1, so that's correct too
Hope that helped : )
