Question

Parallel Lines Write an equation in slope-intercept form for the line that passes through the point and is parallel to the line.

line: y = 3x + 3 point: (0,3)
SHOW WORK!!​

Answer 1

y = 3x + 3

Explanation:

Since the line we want to find is parallel to the given line, it will have the same slope as the given line, which is 3. Also, we know that the line passes through the point (0,3). We can use this information to write the equation of the line in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

Using the values we know, we can substitute m = 3 and x = 0, y = 3 into the equation and solve for b:

3 = 3(0) + b

b = 3

So the equation of the line in slope-intercept form is:

y = 3x + 3