Ask Question
8 October, 10:59

How to solve slope intercept form for a line parallel to y=x+4 passing through (2,2)

+5
Answers (1)
  1. 8 October, 11:45
    0
    The slope intercept form for a line parallel to y = x + 4 passing through (2,2) is y = x

    Solution:

    Given that line parallel to y = x + 4 passing through (2, 2)

    To find: slope intercept form of line

    The slope intercept form is given as:

    y = mx + c

    Where "m" is the slope of line and "c" is the y intercept

    Let us first find slope of line

    On comparing the given equation y = x + 4 with slope intercept form, we get

    m = 1

    Thus slope of line is 1

    We know that slopes of parallel lines are equal

    So slope of line parallel to given line is also 1

    Now we have to find the equation of line in slope intercept form with slope m = 1 and passing through (2, 2)

    Substitute m = 1 and (x, y) = (2, 2) in slope intercept form

    2 = 1 (2) + c

    c = 0

    Thus the required equation is:

    Substitute m = 1 and c = 0 in slope intercept form

    y = 1x + 0

    y = x

    Thus the required equation of line is found
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “How to solve slope intercept form for a line parallel to y=x+4 passing through (2,2) ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers