Slope = 2 passing through (6,2)
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given:
Points ( 6, 2 )
x1 = 6
y1 = 2
m = 2
Write the equation of the line.
The equation of the line can be written in slope-intercept form. But, before writing in slope-intercept form, we must first equate in point-slope form.
Formula for the point-slope form:
y -y1 = m (x - x1)
Formula for the slope-intercept form
y = mx + b
Solution:
Solve for point-slope form first, before going to slope-intercept form.
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - 2 = 2 ( x -6 )
In order to equate to slope-intercept form, we simply need to distribute 2 to each value inside the parenthesis, and then transpose -2 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
y - 2 = 2 ( x - 6 )
y - 2 = 2x - 12
y = 2x - 12 + 2
y = 2x - 10
Final answer:
y = 2x -10