Write the equation of a line that goes through the point (3,-2) and is parallel to the line Y = -4/3x + 5
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given:
Points ( 3, -2 )
x1 = 3
y1 = -2
Parallel to y = -4/3x + 5
Parallel, means they have same slope
m = -4/3
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 - (-2) = -4/3( x -3 )
y + 2 = -4/3 (x - 3)
In order to equate to slope-intercept form, we simply need to distribute -4/3 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 = -4/3x - 4
y = -4/3x - 4 - 2
y = -4/3x - 6
Final answer:
y = -4/3x - 6