Find the equation of the line that is perpendicular to LaTeX: y=-\frac{1}{5}x+3y = − 1 5 x + 3 and goes through the point (4, -3). Put your answer in slope intercept form

Step-by-step explanation:

step 1

Find the slope of the line that is perpendicular to the given line

we have

-----> given line

The slope of the given line is

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

therefore

The slope of the line that is perpendicular to the given line is

step 2

Find the equation of the line in slope intercept form

we have

substitute

solve for b

therefore

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

y + 11 = (1/4)(x + 16)

step-by-step explanation: