Write the equation of a line that passes through point (-5,3) and is perpendicular to
y=3/5x +2.

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 4/3 and -3/4, etc.)

1) Determine the slope (m)

From the given equation, we can see that is the slope of the line since it's in the place of m. Because perpendicular lines always have slopes that are negative reciprocals, the line we're currently solving for would have a slope of . Plug this into :

2) Determine the y-intercept (b)

Plug in the given point (-5,3)

Subtract from both sides to isolate b

Therefore, the y-intercept is . Plug this back into

I hope this helps!

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Hope this helps! Xx