Find the equation of a line, in slope intercept form of a line that passes through the point (9,2) and is parallel to the line 2x-y=8
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given:
Points ( 9, 2 )
x1 = 9
y1 = 2
Parallel to 2x - y = 8 or y = 2x - 8
Parallel, means they have same slope
m = 2
Write in slope-intercept form.
Before writing, 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 -9 )
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 = 2x - 18
y = 2x - 18 + 2
y = 2x - 16
Final answer:
y = 2x - 16