# SOLUTION: The problem is: 4x - y =7 I need to determine if it is a linear equation or not. i need to explain the problem and try to share at least 3 orderd pairs of points that would be s

Algebra ->  Algebra  -> Graphs -> SOLUTION: The problem is: 4x - y =7 I need to determine if it is a linear equation or not. i need to explain the problem and try to share at least 3 orderd pairs of points that would be s      Log On

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 Algebra: Graphs, graphing equations and inequalities Solvers Lessons Answers archive Quiz In Depth

 Question 272643: The problem is: 4x - y =7 I need to determine if it is a linear equation or not. i need to explain the problem and try to share at least 3 orderd pairs of points that would be solutions to this equation.Answer by Theo(3464)   (Show Source): You can put this solution on YOUR website!a linear equation is an equation in which the highest order of exponent is 1. your equation is: 4x - y = 7 it's a linear equation. none of the variables has an exponent larger than 1. x = x^1 y = y^1 to find your ordered pairs, just take 3 values for x at random and plug them into the equation. let x = 1,2,3 your equation is: 4x - y = 7 if you solve for y, it makes it easier to find the y value given the x value. solve for y to get: y = 4x - 7 when x = 1, y = -3 when x = 2, y = 1 when x = 3, y = 5 placing the equation into this form also allows you to graph it. placing the equation into this form also gives you the slope-intercept form of the equation. what you started with was the standard form of the equation for a straight line. that standard form is ax + by = c your equation is: 4x - y = 7 a = 4 and b = -1 the slope intercept form of the equation of a straight line is y = mx + b m is the slope and b is the y intercept. when you solved for y, you placed the equation into this form. your slope is 4 your y intercept is -7 graph of your equation looks like this: I placed horizontal lines at y = -3, 1, 5. If you trace a vertical line down from the intersections of those lines with the line created by your equation, you will see that the value of x at those intersection points is 1,2,3 the points on the line formed by your equation are: (x1,y1) = (1,-3) (x2,y2) = (2,1) (x3,y3) = (3,5) you can take any other values of x and find the corresponding value of y by just replacing x in the equation with the value of x. the equation is y = 4x - 7 when x = 5, y = 20-7 = 13, etc.