A line contains the points (8,9) and (-12, -7). Using point-slope form, write the equation of the line that is parallel to the given line and that passes through (-5, -15). A 4 B 3-15= ( 9 » +15= 3(+9 3+5= 3(+15) »+15= 3(x+5) C D
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the points:
( 8, 9)
( -12, -7)
x1 = 8
x2 = -12
y1 = 9
y2 = -7
Parallel to the point ( - 5 , -15 )
Determine the equation of the line in point-slope form:
Formula of the Point-slope form:
y - y1 = m ( x - x1)
Solution:
It can be seen in the point-slope form, we have m, also known as the slope of the line, hence since we are given a point that the line is parallel to, we need to solve for the slope of that point, and make it the basis as the slope of the given line.
Formula for the slope of the line:
m = y / x
m = rise/run
Substitute the given values the parallel point to the slope of the line.
m = -15/ - 5
m = 3
Substitute the given values of m, x1, and y1, to the formula for point-slope form.
y - y1 = m( x - x1)
y - 9 = 3 ( x - 8)
Final answer:
y - 9 = 3 ( x - 8)