Question

10. Write the slope-intercept form of the equation of the

Answer 1

Answer:

y = -3x + 18

Step-by-step explanation:

The slope intercept form of a line is expressed as y = mx+c

m is the slope

b is the intercept

Get the slope

Given the equation of a line 9x + 3y = 6

Rewrite

3y = -9x + 6

y = -9x/3 + 6/3

y = -3x + 2

Hence the slope of the line is -3

Get the y-intercept

Substitute m = -3 and (5,3) into y  = mx+b

3 = -3(5) + b

3 = -15 + b

3 + 15 = b

18 = b

b = 18

Get the required equation

y = mx+b

y = -3x + 18

This gives the required equation