What is the equation of the line perpendicular to y =1/2x+3 passsing through the point (-3,4)?

y = -2x + 10

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal of the original line.

1/2 -> -2/1 -> -2

Solve for the new y-intercept using the point we are given.

y = 2x + b

4 = 2(-3) + b

4 = -6 + b

10 = b

Fill in everything we solve for in slope-intercept form [ y = mx + b ]

y = -2x + 10

Best of Luck!

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step-by-step explanation: