through: (2,-4), parallel to y=3x+24)
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given:
Points ( 2, -4 )
x1 = 2
y1 = -4
Parallel to y = 3x + 24
Parallel, means they have same slope
m = 3
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 - (-4) = 3 ( x -2 )
y + 4 = 3 (x - 2)
In order to equate to slope-intercept form, we simply need to distribute 3 to each value inside the parenthesis, and then transpose 4 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
y + 4 = 3x - 6
y = 3x - 6 - 4
y = 3x -10
Final answer:
y = 3x -10