Find an equation of the line with the given slope that passes through the given point. Write the equation in the form ax+by=c
The equation of the line in the form ax+by=c is
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
We need to know the slope and a point on the line in order to find an equation. However, this information was not provided in the question.
m=-3,(-7,-6)
To find the equation of a line with a given slope (-3) that passes through a given point (-7,-6), we will use the point-slope form of the equation of a line.
The point-slope form is given by:
y - y₁ = m(x - x₁)
Where (x₁, y₁) represents the coordinates of the given point, and m represents the slope.
Plugging in the values, we get:
y - (-6) = -3(x - (-7))
Simplifying further:
y + 6 = -3(x + 7)
Expanding:
y + 6 = -3x - 21
Rearranging the equation in the standard form ax + by = c:
3x + y = -27
Therefore, the equation of the line with slope -3 and passing through the point (-7, -6) is 3x + y = -27.