Question

Find the equation of a line whose: y-intercept = -1 and inclination = ${45}^{\circ }$.

Answer 1

Given, y-intercept = c = -1 and inclination = ${45}^{\circ }$.

Slope = m = tan ${45}^{\circ }$​​​​​​​ = 1

Substituting the values of c and m in the equation y = mx + c, we get,

y = x - 1, which is the required equation.