Question

Given the following informat 1 3. slope = y-intercept = -1 TT

Answer 1

The equation of straight line in the cartesian plane with slope and y-intercept of -1 is  y+x+1=0

A straight line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature.

• The x-axis, a horizontal line, and the y-axis, a vertical line, are two perpendicular lines that split the number plane, also known as the Cartesian plane, into four quadrants.
• The origin is the location where these axes converge.
• The general equation of a line in the cartesian plane is given by the equation y = mx + c , where m is the slope and c is the y-intercept.
• The slope of a straight line is calculated by taking tan θ where θ is the angle made by the line with positive direction of x- axis.

Given the slope = y-intercept= -1

Therefore m = -1 and c = -1 .

Substituting the values of m and c in the general equation of a straight line we get :

y = -x - 1

or, y + x+ 1 = 0

Therefore the equation of the straight line is y + x+ 1 = 0.

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