Answer:
y = 0x + 4 or y = 4.
Step-by-step explanation:
The slope is zero, and in other words, m = 0.
The slope intercept form is y = mx + b.
Replace m with 0.
y = 0m + b.
The y intercept is the y point on the line. Since this slope is a straight horizontal line, the y point given is the y intercept. b is the y intercept.
y = 0m + 4
Since any number times 0 is 0 you can right it as
y = 4.
The equation of a line that passes through a point is an algebraic equation. It can also be referred to as the Slope-Intercept Equation.
The equation of the line that passes through the point (4, 4) and has a slope of 0 is written as: y = 4
The equation of the line through a point (x1, y1) can be represented by the algebraic equation:
y = mx + c
where:
m = slope
c = y - intercept
From the question,
(x1, y1) = (4, 4)
m = slope = 0
Substituting these values into the algebraic equation,
4 = (0 x 4) + c
Hence, y = 4
The equation of the line that passes through the point (4, 4) and has a slope of zero is y = 4
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