Answer:
The line equation in the slope-intercept form:
Step-by-step explanation:
We know that the slope-intercept of line equation is
Where m is the slope and b is the y-intercept
Given the line
Writing in the slope-intercept form
Therefore, the slope of the line = m = -2/3
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -2/3
perpendicular slope = – 1/m
Given the point
(x₁, y₁) = (-2, -1)
Using the point-slope form of the line equation
where m is the slope and (x₁, y₁) is the point
substituting the perpendicular slope m = 3/2 and the point (-2, -1)
Writing in the slope-intercept form
subtract 1 from both sides
Thus, the line equation in the slope-intercept form: