Mathematics
The line intersecting the y-axis at point (0, 2) and making an angle of 45° with x-axis has equation :
x + y = 2
y - x = 2
x - y = 2
x + y = 0
Answer
Given,
The line intersects the y-axis at point (0, 2) and makes an angle of 45° with x-axis.
Slope (m) = tan θ = tan 45° = 1.
Equation of line passing through a point is given by :
⇒ y - y1 = m(x - x1)
⇒ y - 2 = 1(x - 0)
⇒ y - 2 = x
⇒ y - x = 2.
Hence, Option 2 is the correct option.
Related Questions
The equation of a line with x-intercept 7 and y-intercept -7 is :
x - y = 7
y - x = 7
x + y + 7 = 0
x + y = 7
The line passing through the points (-7, 4) and (5, 4) is parallel to :
x-axis
y-axis
x + y = 0
x - y = 0
The line 5x - 2y + 8 = 0, intersects the y-axis at point A, the co-ordinates of point A are :
(0, -4)
(4, 0)
(4, 4)
(0, 4)