Question

17.

Answer 1

Answer:

The equation of the line passing through the point (1,-4) and making an angle of 135º ​will be:

• $y=-x-3$

Step-by-step explanation:

Given the point (1, -4)

Given that the line makes an angle of 135º.

so

Slope = m = tan 135º = -1

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -1 and the point (1,-4)

$y-y_1=m\left(x-x_1\right)$

$y-\left(-4\right)=-1\cdot \left(x-1\right)$

$y+4=-\left(x-1\right)$

subtract 4 from both sides

$y+4-4=-\left(x-1\right)-4$

simplify

$y=-x-3$

Therefore, the equation of the line passing through the point (1,-4) and making an angle of 135º ​will be:

• $y=-x-3$