Step-by-step explanation:
Parallel lines have the same slope, so we know that our line will have a slope of 3 because y = 3x + 9 has a slope of 3. Now, we can use the point-slope formula of the line to find the equation.
We have y - y₁ = m (x - x₁) (m = 3, x₁ = 2, y₁ = -2)
y- (-2) = 3 (x - 2)
y + 2 = 3x - 6
y = 3x - 8
Hope this helps!
Answer:
y = 3x - 8
Step-by-step explanation:
We know that parallel lines have the same gradient. In this situation we want want to work the equation of the line that is parallel to y = 3x + 9 and passes through ( 2 , - 2 ). We know that equations of lines usually go in the format of y = mx + c
↔ Where 'm' is the gradient / slope
↔ Where 'c' is the y - intercept
Using the information in the first sentence we can set up an equation to find the value of 'c'
⇒ Form the equation
→ y = 3x + c
⇒ Substitute ( 2 , -2 ) into the equation to find the value of c
→ -2 = 6 + c
⇒ Minus 6 from both sides to isolate c
→ -8 = c
⇒ Put the value of c back into y = 3x + c
→ y = 3x - 8
So equation of the line that passes through ( 2, −2 ) and is parallel to the line y = 3x + 9 is y = 3x - 8
