If a line is parallel to y=2x+7 the line must have the same slope but different y- intercept. The equation y=2x+7 has a slope (m) of 2 and y- intercept of 7.
By using the point slope formula and the point (-2,5) we have:
-5.5=7.3+v/8
convert decimals to fractions
-11/2=73/10+v/8
multiply both sides by 40
-220=292+5v
move terms
-5v=292+220
add the numbers
-5v=512
divide both sides by -5
v=512/5
answer
Answer:
(x + 5)(3x + 7)
Step-by-step explanation:
Given
3x² + 22x + 35
Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term
product = 3 × 35 = 105 and sum = 22
The factors are + 15 and + 7
Use these factors to split the x- term
= 3x² + 15x + 7x + 35 ( factor the first/second and third/fourth terms )
= 3x(x + 5) + 7(x + 5) ← factor out (x + 5) from each term
= (x + 5)(3x + 7) ← in factored form
