Explanation:
what is the standard form for your teacher ?
because that is absolutely not agreed on worldwide (and even between teacher and teacher in the same region).
there are 2 main forms :
the general slope intercept form is
y = ax + b
a is the slope. and is here -4.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the half finished equation :
4 = -4×6 + b = -24 + b
28 = b
so, the equation is
y = -4x + 28
the general slope point form is
y - y1 = a(x - x1)
where a (often called m) is again the slope, and x1, y1 are the coordinates of a given point.
so, we have
y - 4 = -4(x - 6)