Respuesta :
Answer:
y = 3x - 3
Given:
y = 3x - 4
through (2, 3)
To Find:
equation of the line parallel to y = 3x - 4 through the given point (2, -3)
Step-by-step explanation:
y = mx + b
The line is parallel, so the slope is the same
y = 3x + b
Plug in the x and y values of your point
-3 = 3(2) + b
Solve for 'b'
-3 = 6 + b
0 = b + 3
b = -3
Your final equation is,
y = 3x - 3
Answer:
y=3x-9
Step-by-step explanation:
Since it's parallel the slope has to be the same. The intercept is found by inserting the x and y into the new equation:
-3=3(2)+b
-3=6+b
Subtract 6 from both sides.
-9=b
This gives all parts to the answer,
y=3x-9
You could also check your work by graphing the point and using the slope of 3x until you get to the y-intercept.