Write an equation of the line that is parallel to 3x + y = 7 and passes through the point (6,4).

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 :)

answer: answer

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x