 Mathematics
line l passes through (4,-31) and line p is the graph of y+4=-5(x-4).

### Question Description

line l passes through (4,-31) and line p is the graph of y+4=-5(x-4). If l is parallel to p what is the slope-intercept form equation of l? Let's look at the given equation first.   y + 4 = -5(x - 4) is the equation of the graph of Line P.  This equation is in Point-Slope form  y - y1 = m(x - x1), where 'm' is the slope and (x1, y1) is the point.  We can compare Line P's equation with the formula to get the slope

y - y1 = m(x - x1)                   Point-Slope form

y + 4 = -5(x  - 4)                      m is the slope

By comparison,  m = -5

Line L and Line P are parallel if they have the same slope.  And since Line P has a slope of -5, that means that Line L also has a slope of -5.  Therefore the slope of Line L is m = -5.

Line L also has the given point of (4, -31).  This means we can let (x1, y1) = (4, -31), or rather x1 = 4 and y1 = -31.  With the point and slope of Line L now known, we can plug back into the Point-Slope form.  Keep in mind that we are instructed to put the equation into Slope-Intercept form   y = mx + b, meaning that after we substitute, we would rearrange the equation to put in the form y = mx + b  (or rather as an equation of y in terms of x)

y - y1 = m(x - x1)

y - (-31) = -5(x - 4)         Substitute the point and slope of Line L

y + 31 = -5(x - 4)            Simplify if necessary, then convert to  y = mx + b

y + 31 = -5x + 20           Distribute the parenthesis

y + 31 - 31 = -5x + 20 - 31    Get the y by itself

y = -5x - 11           Once y is isolated, it is in slope-intercept form  y = mx + b

SOLUTION:

Slope-Intercept equation of Line L is   y = -5x - 11 Wallace H (1013)
Cornell University Anonymous
Return customer, been using sp for a good two years now. Anonymous
Thanks as always for the good work! Anonymous
Excellent job Studypool 4.7 Trustpilot 4.5 Sitejabber 4.4 Brown University

1271 Tutors California Institute of Technology

2131 Tutors Carnegie Mellon University

982 Tutors Columbia University

1256 Tutors Dartmouth University

2113 Tutors Emory University

2279 Tutors Harvard University

599 Tutors Massachusetts Institute of Technology

2319 Tutors New York University

1645 Tutors Notre Dam University

1911 Tutors Oklahoma University

2122 Tutors Pennsylvania State University

932 Tutors Princeton University

1211 Tutors Stanford University

983 Tutors University of California

1282 Tutors Oxford University

123 Tutors Yale University

2325 Tutors