Question

A line passes through point (-3,-5) and has a slope of 6 . Write an equation in Ax+By=C form for this line. Use integers for A,B, and C.

Answer 1

The equation in Ax+By=C form for the line passing through (-3, -5) with a slope of 6 is 6x - y = -13.

Step-by-step explanation:

To write the equation of a line in Ax+By=C form, we need the values of A, B, and C. We can use the point-slope form of the equation, y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Given that the line passes through (-3, -5) and has a slope of 6, we can substitute these values into the point-slope form to find the equation:

y - (-5) = 6(x - (-3))

y + 5 = 6(x + 3)

y + 5 = 6x + 18

6x - y = -13

Therefore, the equation in Ax+By=C form for this line is 6x - y = -13.