What is the equation of the line through (-1, -2) with slope -3?
\(y = -3x - 5\)
Use the point-slope form \(y - y_1 = m(x - x_1)\) with \((x_1, y_1) = (-1, -2)\) and \(m = -3\):
\(y - (-2) = -3\,(x - (-1))\)
\(y + 2 = -3(x + 1) = -3x - 3\)
\(y = -3x - 5\).
In a triangle PQR, the centroid is at G(1, 2). If the vertices P and Q are at (3, -1) and (-2, 4) respectively, what are the coordinates of vertex R?
If line passing through (3,-1) with slope 4; find y-intercept.
What is the reflection of the point (-1, 5) in the line x = 1?
What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(-4, 0) and C(3, -4)?
Slope of the line AB is 4/3. Co-ordinates of points A and B are (x, -5) and (2, -3) respectively. What is the value of x?
Which line has slope −1 and passes through (2, 3)?
What is the slope of the line \(7x + 4y = 8\)?
Find the slope of the line perpendicular to \(y = \dfrac{1}{4}x + 7\).
Find the co-ordinates of the centroid of a triangle whose vertices are A(1, 4), B(7, 8) and C(10, 12).