Answer:
y=3x+6
Step-by-step explanation:
Parallel means same slope.
y-y1=m(x-x1)
y-9=3(x-1)
y=3x-3+9
y=3x+6
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line will be y=3x+6.
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
Since the line is parallel to y=3x+2, the slope of the line will be the same as this line, therefore, will be equal to 3. The equation of the required line will be,
y = 3x + c
Now, the value of constant, c can be found by substituting the point in the equation of the line, therefore,
9 = 3(1) + c
9 = 3 + c
c = 6
Hence, the equation of the line will be y=3x+6.
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