Problem

Line l1 has equation 3x+5y14=0 and crosses the y-axis at point Y.
a) Find the coordinates of point Y.
b) Find the obtuse angle thât line l1 makes with the y-axis.
Line l2 is perpendicular to line l1 and the two lines intersect at (8,2).
c) Find the equation of line l2.
Give your answer in the form ax+by+c= () where a,b and c are integers.

Answer

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Answer

ThecoordinatesofpointYare(0,145).

Steps

Step 1 :Substitute x = 0 into the equation of the line to find the y-coordinate of point Y.

Step 2 :The equation of the line is 3x+5y14=0.

Step 3 :Substituting x = 0 gives 5y14=0.

Step 4 :Solving for y gives y=145.

Step 5 :ThecoordinatesofpointYare(0,145).

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