Question

On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4). Which point on the y-axis lies on the line that passes through point G and is parallel to line DF?

Answer 1

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.)

What is Slope?

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.)

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