Question 77

What is the equation of the line whose yintercept is 3/4 and making an angle of 45° with the positive xaxis?

Solution

Slope of line making an angle of 45° with the positive x-axis = $$tan(45$$°$$)$$

=> Slope, $$m = 1$$

y-intercept, $$c = \frac{3}{4}$$

Equation of line having slope $$m$$ and y intercept $$c$$ is : $$y = mx+c$$

=> $$y = x + \frac{3}{4}$$

=> $$4y = 4x+3$$

=> $$4x-4y=-3$$

=> Ans - (B)

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What is the equation of the line whose y­intercept is ­3/4 and making an angle of 45° with the positive x­axis?