![]() a, b and c can be entered as integers, fractions or numbers with a decimal point as shown below.įor lines of the form ax = c (b = 0), the slope is undefined. Instructions: Use this calculator to get the equation of the line in slope-intercept form, showing all the calculations, step-by-step. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Use Slope Intercept Form of a Line Calculatorġ - Enter the coefficients a, b and c and press "Slope Intercept Form". Explore math with our beautiful, free online graphing calculator. ![]() Plug the slope and the x and y of one of the given points into y mx + b, then solve for b. Solve for the y-value of the y-intercept ( b ). ![]() Remember, the slope is equal to the change in y divided by the change in x (rise over run). The importance of the slope intercept form of a line lies in the fact that the slope m and the y intercept B of the line are easily identified and here are the steps to follow:ġ) Solve the general equation a x + b y = c for yįor b not equal to zero, we divide all terms by the coefficient b.Ģ) Compare the above equation to the slope intercept form y = m x + B and identify m and B asįind slope and the y intercept of the line given by the equation 2 y + 3 x = 6Ĭompare the above equation to the slope intercept for y = m x + B to find Step 1: Enter the point and slope that you want to find the equation for into the editor. Find the slope-intercept form of a line using. This will be the value of m m in the slope-intercept form equation: ymx+b y mx +b. Into the slope intercept form y = m x + B. Slope-intercept equation from two points (example) To determine how to write an equation from two points, we must determine the value of the slope and the y y -intercept. This online calculator rewrites an equation of a line of the general form Write the equation of the line in Slope-Intercept Form, given the slope of -4 and a point (2, 3).Slope Intercept Form of a Line - Calculator Slope Intercept Form of a Line - Calculator Equation for Lowe's faucet: m= _ b= _ Equation: _ 10. The equation is now in slopeintercept form. Find the slopeintercept form of the equation. Eliminate ( C ) and ( D ) right away because they have positive slopes. Graph the line of the equation using its slope and -intercept. Write equations showing the amount of water in the sink after any given number of minutes of filling with each of the faucets. To find the best equation, compare features of the graph to the. a) Constant rate using faucet from Home Depot: _ b) Constant rate using faucet from Lowes: _ 8. Step 2: Identify the y -intercept and slope. If the graph of a line is in slope-intercept form, 130-B. x + 2y 4 x + 2y+ x 4+ x 2y x + 4 2y 2 x + 4 2 y 1x 2 + 4 2 y 1 2x + 2. how the equation is arranged, there may be faster and more convenient ways to obtain the graph. Step 1: Solve for y to obtain slope-intercept form. Put the equation in slope-intercept form. In this example, we outline the general steps for graphing a line using slope-intercept form. ![]() Then, move the red and blue points to graph the line. Determine the rate in minutes the sink is filled. What happens to the graph as you change the value of m What happens to the graph as you change the value of b Put the equation in slope-intercept form. Lowes's faucet can fill the same sink in 20 minutes. example 3: If points and are lying on a straight line, determine the slope-intercept form of the line. example 2: Find the slope - intercept form of a straight line passing through the points and. In the equation above, y2 - y1 y, or vertical change, while x2 - x1 x, or horizontal change, as shown in the graph provided. At Home Depot, the faucet can fill a full sink in 30 minutes. example 1: Determine the equation of a line passing through the points and. The slope is represented mathematically as: m. You have found two competitor stores that sell faucets you like. ![]() You are remodeling your kitchen and are in the market for a new faucet. m= _ Write the equation in Slope-Intercept Form and give both the slope (m) and y-intercept (b). Name: Date: Class: Unit 5 Quiz 2 Standard Find the slope for each line IN SIMPLEST FORM. ![]()
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