Answer:
Explanation:
A perpendicular line will have a sope that is the negative inverse of the reference line. The reference line is y = -3 + 4, with a slope of -3. The negative inverse would be -(-1/3) or (1/3).
The new line will take the form of y = (1/3)x + b, where b is the y-intercept (the value of y when x=0). We want the new line to go through point (-3,-7). We;ll need a value of b that will make that happen. To find b, enter the given data point and solve for b:
y = (1/3)x + b for (-3,-7).
-7 = (1/3)(-3) + b
-7 = -1 + b
b = -6
The new equation is y = (1/3)x - 6
See the attached graph.