What is the slope of a line that is perpendicular to the graph of y=5/4x-3/2?

Answer 1

The given equation is in slope-intercept form, y = mx + b, where m is the slope of the line.

To find the slope, we compare the equation to y = mx + b.

The slope of the given line is 5/4.

To find the slope of the line perpendicular to the given line, we use the fact that the slopes of perpendicular lines are negative reciprocals.

The negative reciprocal of 5/4 is -4/5.

Therefore, the slope of the line that is perpendicular to the graph of y = 5/4x - 3/2 is -4/5.