Question

The line through P(5, 3) intersects y-axis at Q.
(1) Write the slope of the line.
(ii) Write the equation of the line.
(iii) Find the coordinates of Q.​

Answer 1

Answer:

The slope of the line is m=tan45

∘

=1

The equation of the line in slope-point form is (y−y

1

)=m(x−x

1

)

∴ the equation of the line through P is (y−3)=1(x−5)

⇒x−y=2

Since Q lies on the y-axis, the coordinates of Q≡(0,k). Q also lies on the given line x−y=2

⇒0−k=2⇒k=−2

∴ coordinates of Q≡(0,−2)