If \(y = mx + c\) passes through (2, 5) and (4, 9), find m
2
The slope m of a line through two points is \(m = \frac{y_2 - y_1}{x_2 - x_1}\).
\(m = \frac{9 - 5}{4 - 2} = \frac{4}{2} = 2\).
Hence, m = 2.
A line passes through the point ( 2 , - 1) (2,-1) and is perpendicular to the line \(y = \left(-\frac{2}{5}\right)x + 3\). What is its equation?
A triangle has vertices at A(0, 0), B(6, 0), and C(0, 8). What are the coordinates of its Circumcenter?
Find the equation of the line passing through (0,0) and (5,10)
A line passes through the point (2, -1) and is perpendicular to the line \(y = \left(-\frac{2}{5}\right) x + 3\). What is its equation?
If the equation of a line is 2x+3y=6, what is the slope of the line?
The lines \(2x - 3y = 6\) and \(kx + y = 4\) are perpendicular. What is the value of \(k\)?
In which ratio the point (-3, p) divides the line segment joining the points (-5, -4) and (-2, 3)?
In which quadrant both abscissa and ordinate are negative?
Find the slope of the line joining the points (3, -4) and (5, 2).
A1 (x1, y1), A2 (x2, y2), A3 (x3, y3) and A4 (x4, y4) are 4 points, p1 divides A1A2 in the ratio 1 ∶ 1, p2 divides P1A3 in the ratio 1 ∶ 2, P3 divides p2A4 in the ratio 1 ∶ 3. Then the coordinates of p3 are:
The polar coordinates of the vertices of a triangle are (0, 0), \(\left( {3,\frac{\pi }{2}} \right)\) and \(\left( {3,\frac{\pi }{6}} \right)\). Then, the triangle is: