Answer:
Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line
And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y
The coefficient of the x is the slope
The slope of the perpendicular line is the negative reciprocal of m, thus
We know the second line passes through (2,3). That is enough information to find the second equation:
Operating
Simplifying
That is the equation in slope-intercept form. Intercept: y=4