Answer:
The equation of the line would be y = 5/7x + 17/7
Step-by-step explanation:
In order to solve this, start by finding the slope of the original line. You can do this by solving for y.
7x + 2y + 3y + 1 = 0
7x + 5y + 1 = 0
5y = -7x - 1
y = -7/5x - 1/5
Now that we have a slope of -7/5, we know that the perpendicular slope is 5/7 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 1 = 5/7(x + 2)
y - 1 = 5/7x + 10/7
y = 5/7x + 17/7
