Write the slope-intercept form of the equation that passes through the point (4,-6) and is parallel to the line y = -3/4x - 5 y = -3/4x - 3 y = -3/4x + 3 y = 4/3x + 2/3 y = 4/3x - 34/3
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given:
Points ( 4, -6 )
x1 = 4
y1 = -6
Parallel to y = -¾x - 5
Parallel, means they have same slope
m = -¾
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 - (-6) = -¾( x -4 )
y + 6 = -¾ (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 4 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
y + 6 = -¾x - 3
y = -¾x - 3 - 6
y = -¾x - 9
Final answer:
y = -¾x - 9