Write the equation of a line that is parallel to y= 2x + 3 and passes through the points (6,2)
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Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y= 2x + 3

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (6,2) is 2

To determine the intercept, we would substitute m = 2, x = 6 and y = 2 into y = mx + c. It becomes

2 = 2 × 6 + c = 12 + c

c = 2 - 12= - 10

The equation becomes

y = 2x - 10

Step-by-step explanation: