Question

Write the slope-intercept form of the equation of the line described. through (2, -5) perpendicular to y = 1/3x -1

Answer 1

y = -3x + 1

Explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.

Plug in the slope and given point into y = mx + b

y = mx + b

-5 = -3(2) + b

-5 = -6 + b

1 = b

Then, plug in the slope and y intercept into y = mx + b again:

y = -3x + 1 will be the equation of the line