What is the point slope form of the line with slope 25 that passes through the point (−4, −7)? (A) y+7=25(x+4)

(B) y+4=25(x+7)

(C) y−7=25(x−4)

(D) y−4=25(x−7)

Option A: is the correct answer.

Step-by-step explanation:

The point-slope form of an equation of a line is given by:

Here:

m is the slope of the line

are the coordinates of the point from which the line passes.

Now looking at the given question:

Putting the values in the general form of point-slope form of equation of line

Hence, the point-slope form of given line is:

Observing the option given, it can be concluded that Option A: is the correct answer.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1