Question 1198735
<br>
For an elementary solution, do what two of the other tutors do:
Put the given equation in slope-intercept form to find the slope;
Find the slope of the perpendicular line, which is the negative reciprocal of the slope of the given line; and
Use that slope and the given point with either the slope-intercept or standard form of a linear equation to find the equation.<br>
Students with knowledge of only basic algebra should know that solution method.<br>
For an easier solution, for students with a more extensive knowledge of math, do what tutor @MathTherapy does.<br>
Given a linear equation in standard form Ax+By=C, the equation of a line perpendicular to the given line is of the form Bx-Ay=D (switch the coefficients and change the sign of one of them).<br>
Then just plug in the coordinates of the given point to find the answer.<br>
x-4y = 3 --> 4x+y = D
4(2)+10 = 18
ANSWER: 4x+y=18<br>