Taking two points from the graph, (0, 5) and (15, 15) Slope (m) = (15 - 5) / (15 - 0) = 10/15 = 2/3. So, option B is correct. Problem 6 : Dennis is compared the y-intercept of the graph of the function f(x) = 3x + 5 to the y-intercept of the graph of the linear function that includes the …

Word Problems & Linear Equations Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students learn how to graph a line specified by a linear function derived from a word problem. Graph a line specified by an initial value and a rate of change of a function and construct the linear function by interpreting the graph.

Linear function will be in the form of . y = mx + b. Here m is the slope and b is the y-intercept. To find slope, we follow the techniques given below. Slope = Rise / Run (or) (y 2 - y 1) / (x 2-x 1) (or) Difference between y / difference between x

Choose any two points in the form (x, y), from the table to find the slope : For example, let us choose (0, 82) and (1, 80). Use the slope formula. m = (y2 - y1) / (x2 - x1) Substitute (0, 82) for (x1, y1) and (1, 80) for (x2, y2). m = (80 - 82) / (1 - 0) m = -2 / 1. Step 3 : Find the y-intercept using the slope and any point from the table.

There are a couple steps when translating from a word problem to a linear equation. Review them, then we'll work through an example. Find the y variable, or output.

Linear equation word problems help students translate real-world situations into solvable algebraic expressions. This page includes a variety of practice problems with clear steps, explanations, and solutions designed to help you master solving linear equations in context.

9. Celsius-to-Fahrenheit Problem: The Fahrenheit temperature, “F”, and the Celsius temperature “C,” of an object are related by a linear function. Water boils at 100˚C or 212˚F, and water freezes at 0˚C or 32˚F. a. Write an equation expressing F in terms of C. b. Lead boils at 1620˚C.

solving word problems using linear equations We can write a linear equation for the information found in the given real-world problem and solve the problem using the linear equation. In most of the cases, we use slope-intercept form equation to solve the real-world problems.

Write a system of linear equations to represent this information and find the number of adults and children. Alice has $50 and decides to save $5 each week. Bob has no savings initially but saves $8 each week. After how many weeks will Alice and Bob have the same amount of money saved?

A linear equation word problem involves a real-world situation or scenario that can be solved by setting up and solving linear equations. The equations that are used model the relationships between different quantities in the real-world scenario.