can someone correct this for me plz....
Write the equation of the line L satisfying the given geometric conditions.
(#1)L has y-intercept (0, -3) and is parallel to the line with equation
y = (2)/(3)x + 1.
My answer:
To write the equation of a line parallel to a given line, we need to remember that parallel lines have the same slope.
The given line has the equation y = (2/3)x + 1. Since it has a slope of 2/3, any line parallel to it will also have a slope of 2/3.
We also know that the line L we're trying to find has a y-intercept of (0, -3). The y-intercept is the point where the line intersects the y-axis, which has an x-coordinate of 0.
So, to write the equation of line L, we can use the slope-intercept form of a line: y = mx + b, where m is the slope and b is the y-intercept.
Plugging in the values we know, the equation of line L is:
y = (2/3)x - 3