What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
y=-x-1
y=-x+5
y=x-1
y=x+5

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

Where "m" is the slope of the line and "b" is the y-intercept.

Write the equation of the given line in Slope-Intercept form by solving for "y":

You can observe that the slope of this line is:

Since the slopes of parallel lines are equal, then the slope of the other line is:

Now, substitute the slope and the point (-2, 4) into   and solve for "b":

Then the equation of the line parallel to the given line is:

2

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: