To write an equation in slope-intercept form, find the slope m and the y-intercept b, then put them into . If you don’t know b, substitute the slope and one point into and solve for b. This works for a graph, two points or a word problem. Before this lesson: You should know slope-intercept form,…
Slope-intercept form is a way to write the equation of a line: . The m is the slope, which tells how steep the line is. The b is the y-intercept, where the line crosses the y-axis. With this form, you can graph a line in two quick steps. Before this lesson: You should know how…
A horizontal line goes straight across, and its equation is , where b is the y-value of every point on it. A vertical line goes straight up and down, and its equation is . Horizontal lines have a slope of 0. Vertical lines have an undefined slope. Before this lesson: You should know how to…
Slope tells you how steep a line is and which way it goes. It is the rise (how far the line goes up or down) divided by the run (how far it goes across). To find slope from two points, use the slope formula: . Before this lesson: You should know how to plot points…
Ever watched a movie where two characters’ paths cross at an unexpected point, changing the course of their journey? Well, imagine these moments as x-intercepts and y-intercepts in mathematics. You may ask, “How can intercepts play such dramatic roles?” Just like those cinematic intersections change storylines, x and y intercepts alter the trajectory of equations….
Two-variable linear equations are fundamental concepts in Algebra. They represent relationships between two different quantities using math. We can even visually represent these equations on a graph. This blog post will explore how to solve two-variable linear equations. You’ll gain a solid understanding of this crucial algebraic concept. Understanding the Basics In its simplest form,…
Multi-step inequalities are solved like multi-step equations: distribute, combine like terms, and get the variable terms on one side. Then undo adding or subtracting, and multiplying or dividing. Flip the sign only if you multiply or divide by a negative number. For example, gives , so . Before this lesson: You should know how to…
Two-step inequalities, like , are solved like two-step equations: undo adding or subtracting first, then undo multiplying or dividing. If you multiply or divide by a negative number, flip the inequality sign. Here, , so . Then graph the answer on a number line. Before this lesson: You should know how to solve one-step inequalities…
A one-step inequality, like , is solved like a one-step equation: do the inverse operation to both sides. There is one new rule for one-step inequalities. If you multiply or divide both sides by a negative number, flip the inequality sign. The answer, , is a range of numbers you can graph on a number…
Multi-step equations take more than two steps to solve. First simplify each side: use the distributive property to remove parentheses, then combine like terms. Then solve the two-step equation that is left. For example, simplifies to , so . Before this lesson: You should know how to solve two-step equations, use the distributive property and…
