That was so sophisticated I pooped myself
H>3/25 Hope you the best of luck
Hello!
To find the equation of a line parallel to y = 3x - 3 and passing through the point (4, 15), we need to know that if two lines are parallel, then their slopes are equivalent.
This means that we create a new equation in slope-intercept form, which includes the original slope, which is equal to 3.
In slope-intercept form, we need a y-intercept. So, we would substitute the given ordered pair into the new equation with the same slope and solve.
Remember that slope-intercept form is: y = mx + b, where m is the slope and b is the y-intercept.
y = 3x + b (substitute the ordered pair (4, 15))
15 = 3(4) + b (simplify)
15 = 12 + b (subtract 12 from both sides)
3 = b
Therefore, the equation for the line parallel to the line y = 3x - 3, and passing through the point (4, 15) is y = 3x + 3.
The correct answer is d.We have the following system of linear equations:
(I)

(II)

Let's use the elimination method, then let's multiply the equation (1)

and subtracting (I) and (II):
(I)

∴

(I)

(II)

____________________
(III)

∴

We can find the value of x by substituting y either in (I) or (II). Thus, from (I):

∴

∴

∴

∴

Let's substitute the values of x and y into (I) and (2)
(I)

(II)

Finally the answer is: