Question 719875
The slope of the line y = -4x - 5 is -4. The slope of any line perpendicular to this one will be the negative reciprocal of -4. The reciprocal of -4 is -1/4. The negative of this reciprocal would be 1/4. So the slope of any perpendicular line will be 1/4<br>
The y-intercept of y = 2x - 1 is -1.<br>
So a line perpendicular to y = -4x - 5 with a y-intercept of -1 will be:
{{{y = (1/4)x + (-1)}}} or {{{y = (1/4)x -1}}}