A slope is also known as the gradient of a line is a number. The point on the y-axis lies on the line that passes through point G and is parallel to line DF is (0,4.)
A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
The slope of the line DF can be written as,
Slope, m = (-3 -3)/(-1-2) = -6/-3 = 2
The y-intercept of the line is at,
y = 2x + c
-3 = 2(-1) + c
c = -1
Therefore, the equation of the line DF is y=2x-1.
Since the other line passes through G and is parallel to DF the slope of both the line will be the same. The slope of the other line will be,
m₂ = 2
The line of the equation cam be written as,
y = 2x + c
-4 = 2(-4) + c
c = 4
Hence, the point on the y-axis lies on the line that passes through point G and is parallel to line DF is (0,4.)
Learn more about Slope of Line:
https://brainly.com/question/14511992
#SPJ1
