The equation of the line that passes through (0, 6) and is parallel to y=5x−3.
is y = 5x + 6
The line passes through (0, 6) and it is parallel to the equation y = 5x - 3.
Parallel lines have the same slope. Therefore,
using slope equation,
y = mx + b
where
m = slope
b = y-intercept
The slope of y = 5x - 3 is 5 . Therefore, the slope of the equation we are looking for is also 5.
y = mx + b
(0, 6)
let's find b
6 = 5(0) + b
b = 6
Therefore, the equation will be
y = 5x + 6
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