Question

What is the equation of the line that passes through the point left bracket, 3, comma, 5, right bracket(3,5) and has a slope of minus, one third−

3
1
​
?

Answer 1

The slope-intercept equation is : y = -1/3x + 6

Using the parameters given :

• slope = -1/3
• Point (3, 5)

The general form of slope-intercept equation is : y = bx + c

• b = slope , c = intercept

y = -1/3x + c

Using the points given (3, 5)

5 = -x/3(3) + c

5 = -1 + c

c = 5 + 1

c = 6

The slope-intercept equation is : y = -1/3x + 6