Answer:
y= 2x+5
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient. Hence m=2.
Subst. m=2 into the equation:
y=2x +c
Now substitute a coordinate.
When x= -2, y=1,
1= 2(-2) +c
1= -4 +c
c= 1 +4
c=5
Thus, the equation of the line is y= 2x +5.
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This is your perfect answer
<span>c^2 + 5c - 14 = 0 </span>
<span>(c-2)(c+7) = 0 </span>
<span>c-2 = 0 or c+7 = 0 </span>
<span>c = 2 or c = -7 </span>
<span>c^2 - 2c - 15 = 0 </span>
<span>(c-5)(c+3) = 0 </span>
<span>c-5 = 0 or c+3 = 0 </span>
<span>c = 5 or c = -3</span>
Get the equation to slope-intercept form: y = mx + b
6x + 3y = 6
Subtract 6x from both sides. This will give you 3y = -6x + 6.
Then, divide by 3 on both sides. This gives you y = -6x + 2.
2 is your y intercept and -6 is your slope.