Answer:
y = -3x + 22
Step-by-step explanation:
To write the equation we need to know the slope and the y-intercept. We know that when two lines are parallel their slopes are equal. So, let's convert the given equation into slope-intercept form:
3x + y = 7
y = 7 - 3x
The slope of the line is -3 for both equations.
We can use the slope and the given point (6, 4) to find the y-intercept:
y = -3x + b
4 = -3(6) + b
4 = -18 + b
22 = b
The y-intercept of the equation is 22.
Now that we know the slope and the y-intercept, we can write our equation:
y = -3x + 22
Hope this helps :)
