Answer:
y= 3x -5
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+b, where m is the gradient and b is the y-intercept.
Let's rewrite the equation of the given line in the form of y=mx+b, so we can find its gradient.
y +2= 3(x -1)
y +2= 3x -3 (expand)
y= 3x -3 -2
y= 3x -5
Gradient of given line= 3
Gradient of unknown line= 3,
since parallel lines have the same gradient.
Susbt. m=3 into the equation:
y= 3x +b
Substitute a coordinate to find the value of b.
When x= 1, y= -2,
-2= 3(1) +b
-2= 3 +b
b= -2 -3 (-3 on both sides)
b= -5 (simplify)
Thus the equation of the line is y= 3x -5.
