slope and intercept equation

Question

Write an equation of the line that passes through the given point
and has the given slope. Write your equation in slope-intercept form.

(-3,-3);m=2/3

Answer 1

Given point (-3,-3) and slope m= 2/3

Line passes through the point (x₁ , y₁) =(-3,-3)

Formula of the line equation is (y - y_{1) =}m (x - x₁ )

Substitute the point (-3,-3) and slope m=2/3 in above formula

y - (-3) ) ₌ 2/3 (x - (-3) )                    (simplify)

y + 3 -3 ₌ 2/3 (x + 3 )-3                    (Subtrtact each sude by 3)

y  ₌ 2x/3  -1                                      (simplify)

y  ₌ 2x/3 - 1   

The slope intercept equation is y  ₌ 2/3(x) - 1.   

 

 

Comments

• Point - slope - form of a line equation is y - y_{1 =} m(x - x₁), where m is slope, and (x_1, y₁) is the point lies on the line.
• Slope - intercept - form of a line equation is y = mx + b, where m is slope, and b is y - intercept.