Write an equation in standard form (4.-1) and (3,-7)

Answer 1

The question asks for the answer in standard form which would be Ax+By=C. To find this, we first have to convert the points into the slope-intercept form which would be y = mx+b.

We can find our slope using the rise over run formula: (-7-(-1)) / (3-4) = -6 / -1 = 6

This gives us y = 6x + b

To find our y-intercept, we just need to plug in one of our points. I will plug in the first point in this case.

-1 = 6(4) + b --> -1 = 24 + b --> -25 = b.

This completes our slope-intercept equation: y = 6x -25

Now we just have to convert it to standard form. Lets subtract 6x from both sides, giving us -6x + y = -25. If the coefficient for x were a fraction, we would have to multiply everything by the denominator. However, in this case, it is a whole number, so we don't need to worry about it.

The standard form of the equation is then -6x + y = -25 or 6x - y = 25 (multiplied both sides by -1).

Answer 2

a straight line through those 2 points has slope = m = (-1--7)/(4-3) = 6

so the general form of the equation is

y=mx+b

y=6x + b where b is the y intercept. plug in either point to calculate b

-1 = 6(4) + b

b -1 -24 = -25

y=6x -25 is the equation of the line through the given two points