consider the line 5x-9y=1 Find the equation of the line that is parallel to this line and passes through the point (1,5)

Answer 1

First we need to find the slope of the given line by converting it into the standard form:

y = (5/9)x - 1/9

From this, we can tell that the slope is 5/9. Then we can use the slope and the given point along with the point/slope form of a line to get the new line:

(y - 5) = (5/9)(x - 1)

Answer 2

5x - 9y = 1

-9y = -5x + 1

y = (5/9)x - 1/9

m₁ = 5/9

m₂ = 5/9

Use point-slope form from Algebra 1

y - 5 = (5/9)(x - 1)