Find the slope of the line (m), and the place where the line crosses the y-axis, known as the y-intercept (b), to write the equation in slope-intercept form, y = mx + b. Use the equation to find the y value for any x on that line.
To find a line's equation, identify two of the points through which the line passes, and then use the "x" and "y" coordinates to find the slope of the line, or the rate at which it climbs or falls. Use the slope to find the line's intersection with the y-axis.
The way to calculate the equation of a line that includes the points (x,y) and (x1, y1) is to plug them into the equation y - y1 = m(x - x1) and solve for m, the slope of the line. The way to convert this to y = mx + b form is to plug one point and the slope into the same equation and solve for y.
An equation is a statement declaring that two values are equal. It has an equals sign and expressions on the left and right of the equals sign; the expression on the left and the right are equal.
Word equations are equations in which mathematical operations are applied to words instead of numbers. Word equations are commonly used in chemistry and are used to show common chemical reactions. Word equations are written with the name of the substance instead of the chemical abbreviation.
To write the equation of a line, find the slope and the y-intercept, and incorporate them into slope-intercept form. If you do not know the slope and the intercept, you can also use point-slope form, as long as you have the slope and coordinates for one point on the line.
To write linear equations from word problems, the student must first decide which quantities to assign variables to, and then decide what operations must be performed in order to solve the problem. For example, the unknown variable typically gets an assignation of x, and it must be determined whethe
The equation for determining the net force acting on an object is F = ma, or force equals mass times acceleration. Net force is measured in terms of acceleration, which means a change in velocity. If there is no change in velocity, the net force is considered to be zero.
The linear rule is the idea that any point in a function falls on the same line, and writing an equation with the linear rule only requires knowledge of the function and y-intercept of the function. If two points on the line are known, it's possible to find this information.
The equation to calculate a free-falling object's velocity or time spent falling is velocity equals gravitational acceleration multiplied by time. This occurs if three conditions are given: an initial velocity of zero, a hypothetical infinite space to fall in and negligible air resistance.