9514 1404 393
Answer:
see attached
use the point-slope form
Explanation:
Substitution works to find the solution.
4x = 3x -3
x = -3 = y
The solution is (x, y) = (-3, -3).
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The first equation graphs as a line through the origin with a slope of 1.
The second equation graphs as a line through (0, 1) with a slope of 4/3, that is, a rise of 4 for each run of 3.
The two lines intersect at (x, y) = (-3, -3), so that point, together with the y-intercepts, can be used to draw the lines.
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A line that intersects point (-3, -3) can be written in point-slope form as ...
y +3 = m(x +3) . . . . . for some slope m.
If you were to choose m = -1, this becomes ...
y +3 = -(x +3)
y = -x -6 . . . . . . rearranged to slope-intercept form