Answer:
y = -8/5 x + 31/5
Step-by-step explanation:
Write the slope-intercept form of the equation that passes through the point (2, 3) and is perpendicular to the line y = 5/8x - 4 y = 5/8x + 17/4 y = -5/8x + 7/4 y = -8/5x + 31/5 y = -8/5x - 31/5
The slopes of perpendicular lines are negative reciprocals.
Slope of given line: 5/8
Slope of perpendicular line: -8/5
Point on perpendicular line: (2, 3)
Slope-intercept form of the equation of a line:
y = mx + b
We know the slope of the perpendicular is -8/5, so now we have
y = -8/5 x + b
We need to find b.
We use the given point for x and y and solve for b.
y = -8/5 x + b
3 = -8/5 * 2 + b
15 = -8 * 2 + 5b
15 = -16 + 5b
5b = 31
b = 31/5
Now that we know that b = 5, we can write the equation of the perpendicular line:
y = -8/5 x + 31/5
