Answer: y = 3x - 21
Step-by-step explanation:
If the lines form a right angle, this means that they are perpendicular. Therefore, we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other (in other words, their slopes multiply to -1).
The slope of AB is . This means that the slope of BC is 3.
Substituting into point-slope form,
Answer:
Step-by-step explanation:
<u>The Equation of a Line</u>
The equation of the line in slope-intercept form is:
Where m is the slope and b the y-intercept.
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
We are given the points (5,2) and (0,-1), thus:
Operating:
To find the slope-intercept form, we continue to simplify the expression:
Removing the parentheses:
Adding 2:
THE SOLUTIONS OF A SYSTEM OF EQUATIONS
A system of equations refers to a number of equations with an equal number of variables. We will only look at the case of two linear equations in two unknowns. The situation gets much more complex as the number of unknowns increases, and larger systems are commonly attacked with the aid of a computer.
A system of two linear equations in two unknowns might look like
This is the standard form for writing equations when they are part of a system of equations: the variables go in order on the left side and the constant term is on the right. The bracket on the left indicates that the two equations are intended to be solved simultaneously, but it is not always used.