Question

write the slope-intercept form of the equation of the line described and graph. Through: (5,-4), perpendicular to y=5/9x-5

Answer 1

y= - 9/5x +5

Explanation:

Slope- intercept form:

• y= mx+b

Given line:

• y= 5/9x - 5

Perpendicular line to the given will have a slope of -1/m, which is - 9/5,

so the form of this line is:

• y= -9/5x +b

This line passes through point (5, -4), plug in values of x and y, we find the value of b:

• -4= -9/5*5 +b
• -4= - 9 +b
• b= 9-4
• b= 5

The required line is:

• y= - 9/5x +5