Question

solve the question asked above

Answer 1

slope = 1 because the angle is 45°, Tan45= 1
equation of line, y-3= 1(x-5)

x= 0 at Q

the equation of line becomes

y-3= -5
y=-2

Q= (0,-2)


Hope this helps.

Answer 2

Given that the line P(5,3) intersects y-axis at Q.

(1) Slope of the line, m = tan theta

= > tan(45)

= > 1.

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(2)

Equation of the line:

= > y - y1 = m(x - x1)

= > y - 3 = (x - 5)

= > y - 3 - x + 5 = 0

= > x - y - 2 = 0.

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(3)

Coordinates of Q:

Given that it intersects at Y-axis, then the x-axis will be 0.

= > x - y - 2 = 0

= > -y - 2 = 0

= > -y = 2

= > y = -2.

Therefore, the coordinates of Q(0,-2).

Hope this helps!