What is an equation of the line that passes through the point (-4, 1) and is parallel to the line x - y = 6?
What is an equation of the line that passes through the point (-4, 1) and is parallel to the line x - y = 6?
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info@snapandsolve.comTo find the equation of a line parallel to x - y = 6 and passing through (-4, 1), we first rewrite the given line in slope-intercept form (y = mx + b). The equation x - y = 6 can be rewritten as y = x - 6, which has a slope (m) of 1.
Since parallel lines have the same slope, the line we are looking for also has a slope of 1. Using the point-slope form of a line equation, y - y₁ = m(x - x₁), where (x₁, y₁) is the point (-4, 1), we get:
y - 1 = 1(x + 4)
y - 1 = x + 4
y = x + 5
Thus, the equation of the line is y = x + 5.
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