Find the equation of the line that is perpendicular to the given line and passes through the given point. enter your answer in slope-intercept form (y = mx + b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary. y = 5x ; (6, −7)

y = -0.2x - 5.8

Step-by-step explanation:

If a line is given in the form y = mx + b, the "m" is the slope.

For the line given y = 5x, the slope is 5

The line that is perpendicular to this will have slope that is "negative reciprocal of that".

So, the perpendicular line will have slope of  

So, the Perpendicular Line will have equation:

y = -1/5x + b

Let's find b by replacing x with 6 and y with -7 [the point given]. So we have:

So the equation of perpendicular line = y = -0.2x - 5.8

linear

step-by-step explanation: