Find the equation of a line which is inclined to x-axis at an angle of 45 degree and its Y intercept is 7
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Answer:
x-y+7=0
Step-by-step explanation:
Since the line makes an angle of 45° with the +ve direction of X-axis, you know your inclination (θ) = 45°
Therefore, Slope (m) of the line = tan(θ)
∴ m = tan(45°)
∴ m = 1
You have Slope and you have Y-intercept of the line
∴ By Slope Intercept Form
∴ y = mx + c
∴ y = (1)x + (7)
∴ y = x +7
∴ x - y +7 = 0
Hence the required equation of the line is x-y+7=0
hope it helps
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