Answer:
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
