Answer:
Step-by-step explanation:
We have to write an equation of a line which passes through the given point (-9,2) and is perpendicular to the given straight line y = 3x - 12 ........... (1)
Now, equation (1) is in the slope-intercept form and the slope of the line is 3.
Let, m is the slope of the required line.
So, 3m = -1
{Since, the product of the slopes of two perpendicular straight lines is -1}
⇒ 
Therefore, the equation of the required line in slope intercept form is
{Where c is a constant}
Now, this above equation passes through the point (-9,2) point.
So, 
⇒ 2 = 3 + c
⇒ c = - 1
Therefore, the equation of the required straight line is (Answer)
Answer:
Step-by-step explanation:
Simplified becomes;
Simplifying further gives;
Jax gets 4 packs per month...each pack contains 4 cards...so he gets 16 cards per month.
Sofia gets 3 packs per month..each pack contains 4 cards...so she gets 12 cards per month..
56 + 16m = 68 + 12m
16m - 12m = 68 - 56
4m = 12
m = 12/4
m = 3.....they will have the same number of cards in 3 months
Jax : 56 + 16(3) = 104 cards
Sofia : 68 + 12(3) = 104 cards
and they will both have 104 cards
You should add the picture so we can see
Answer:
y = 2x + 2
Step-by-step explanation:
The equation ofa line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 4 ← is in slope- intercept form
with m = 2
Parallel lines have equal slopes , thus
y = 2x + c ← is the partial equation
To find c substitute (3, 8) into the partial equation
8 = 6 + c ⇒ c = 8 - 6 = 2
y = 2x + 2 ← equation of parallel line
