Slope intercept form for a line containing 4,2 that is parallel to the line y-2 = 3(x+7)
Mathematics · High School · Thu Feb 04 2021
Answered on
Given:
Points ( 4, 2 )
x1 = 4
y1 = 2
Parallel to y - 2 = 3(x + 7)
Parallel, means they have same slope
m = 3
Equate in slope-intecept form.
Before writing in slope-intecept 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 = 3 ( x -4 )
In order to equate to slope-intercept form, we simply need to distribute 3 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 = 3 (x - 4)
y - 2 = 3x - 12
y = 3x - 12 + 2
y = 3x - 10
Final answer:
y = 3x -10