Answer:
The posted photo says the slope is -(3/4). I'll use that, instead of -2 as written in the question.
Step-by-step explanation:
The slope-intercept form of a straight line equation is y = mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
With a slope of -(3/4), we can write: y = -(3/4)x + b.
To find b, use the given point (4,-6):
y = -(3/4)x + b
-6 = -(3/4)(4) + b for (4,-6)
-6 = -3 + b
b = -3
The line is y = -(3/4)x - 3
The first option.
