The points (-7,-1) and (-8,6) fall on a particular line. What is its equation in point-slope form?
1 answer:
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Answer:
x + 3y = 9
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y - 1 = - (x - 6)
Multiply through by 3 to clear the fraction
3y - 3 = - (x - 6) ← distribute parenthesis by - 1
3y - 3 = - x + 6 ( add x to both sides )
x + 3y - 3 = 6 ( add 3 to both sides )
x + 3y = 9 ← in standard form
The slope intercept form is
Explanation:
The equation is
Now, we shall bring the equation in the slope intercept form.
The general form of the slope intercept is given by
Hence, we need to rewrite the given equation in this form.
Thus, we have,
Subtracting both sides of the equation by 5x, we get,
Multiplying both sides of the equation by (-), we get,
Thus, the slope intercept form of the given equation is