A line passes through (2,9) and has a zero slope
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the line:
(2, 9)
x1 = 2
y1 = 9
m = 0
Determine the equation of the line.
The equation of the line can be written in point-slope form and slope-intercept form.
Point-slope form:
y - y1 = m( x - x1 )
Slope-Intercept form
y = mx + b
Solution:
In order to determine the equation of the line, we simply need to substitute the values of x1, y1 and m to the equation of the point-slope form.
y - y1 = m( x - x1 )
y - 9 = 0 (x - 2)
Point-slope form:
y - 9 = 0 (x - 2)
In order to change the given equation to slope-intercept form, we simply distribute 0 to the values inside the parenthesis, and then transpose -9 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.
y - 9 = 0 ( x - 2 )
y - 9 = 0
Slope-Intercept form:
y = 9
Final answer:
Point-slope form:
y - 9 = 0 (x - 2)
Slope-Intercept form:
y = 9