the point (-3,2)is on the line given by which equation below A. y = 3x B.y = x-5 C.y = x+5 D.y = - 3 x need asap
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given :
Point = (-3, 2)
x1 = -3
y1= 2
m = y/x
m = -⅔
Determine the equation of the line.
The equation of the line can be written in point-slope form and slope-intercept 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 = -⅔ ( x - (-3))
y - 2 = -⅔ ( x + 3)
In order to equate to slope-intercept form, we simply need to distribute -⅔ 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 = -⅔x + 2
y = -⅔x + 2 + 2
y = -⅔x + 4
Final answer:
y = -⅔x + 4