nameVoid said:
The slope-intercept form of a line equation is y = mx + b, where m is the slope and b is the y-intercept.
To find the equation of a line given two points, first calculate the slope using the formula (y2 - y1) / (x2 - x1). Then, use the slope-intercept form (y = mx + b) and plug in one of the points for x and y. Finally, solve for b to get the complete equation.
The standard form of a plane equation is Ax + By + Cz + D = 0, where A, B, and C are the coefficients of x, y, and z, and D is a constant.
To find the equation of a plane given three points, first calculate the cross product of two vectors formed by the three points. Then, use the standard form of a plane equation and plug in one of the points for x, y, and z. Finally, solve for D to get the complete equation.
The slope of a line is equal to the tangent of the angle it makes with the x-axis. This means that a steeper line will have a larger slope and a smaller angle, while a flatter line will have a smaller slope and a larger angle.