What is an equation of the line that passes through the point (-3, 5) and is parallel to the line x - y = 4?
What is an equation of the line that passes through the point (-3, 5) and is parallel to the line x - y = 4?
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info@snapandsolve.comTo find the equation of a line parallel to x - y = 4, we first need to determine the slope of the given line. The equation x - y = 4 can be rewritten in slope-intercept form (y = mx + b) as y = x - 4, which has a slope (m) of 1.
Since parallel lines have the same slope, the line we are looking for will also have a slope of 1. Using the point-slope form of a line equation, y - y1 = m(x - x1), where (x1, y1) is the point (-3, 5), we get:
y - 5 = 1(x + 3)
y - 5 = x + 3
y = x + 8
Therefore, the equation of the line is y = x + 8.
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