HELP FOR MEDAL AND FAN

The equation of line LM is y = 5x + 4. Write an equation of a line perpendicular to line LM in slope-intercept form that contains point (−3, 2).

A. y = 5x + 13
B. y = negative 1 over 5x + 7 over 5
C. y = − 1 over 5x − 7 over 5
D. y = 5x − 17

Question

HELP FOR MEDAL AND FAN

The equation of line LM is y = 5x + 4. Write an equation of a line perpendicular to line LM in slope-intercept form that contains point (−3, 2).

A. y = 5x + 13
B. y = negative 1 over 5x + 7 over 5
C. y = − 1 over 5x − 7 over 5
D. y = 5x − 17

freckles · Answer

Can you identify the slope of the linear equation y=5x+4?

yanasidlinskiy · Answer

The slope of this line is 5. The slope of a perpendicular line is the negative reciprocal: -1/5 

Now use the point-slope formula to find the equation: 
y - y1 = m (x - x1) 
y - 2 = -1/5 (x + 3) 
y-2 = -1/5x - 3/5 
y = -1/5x-3/5+2 
y = -1/5x+7/5