Question

Which make an angle 45 degree with x axis in negative direction and passes through a point (- 3, 2)​

Answer 1

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Answer:

y = -x -1

Explanation:

The slope of a line is the tangent of the angle it makes with the x-axis. If you want an angle of -45°, then you need a line with a slope of m = tan(-45°) = -1.

Then the y-intercept is ...

b = y -mx

b = 2 -(-1)(-3) = 2 -3 = -1

So, the slope-intercept equation is ...

y = mx + b

y = -x -1