4x + 3y = 4 - Number Maniacs

4x + 3y = 4 Here we will show you how to calculate and provide solutions to math problems related to 4x + 3y = 4. We will start by calculating and showing you the solution for the x-intercept and y-intercept of 4x + 3y = 4. Then, we will show you how to get the graph plot coordinates for 4x + 3y = 4 so we can illustrate it on a graph. Finally, we will solve 4x + 3y = 4 for x and also for y, then calculate and show you the solution for the slope of 4x + 3y = 4. Find x-intercept The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x. 4x + 3y = 4 4x + 3(0) = 4 x1 = 1 y1 = 0 Find y-intercept The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y. 4x + 3y = 4 4(0) + 3y = 4 y2 = 1.333 x2 = 0 Get Graph Plot Coordinates Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2). Thus, we use the x-intercept and y-intercept results above to get the graph plots for 4x + 3y = 4 as follows: (x1,y1) and (x2,y2) (1,0) and (0,1.333) Solve for x To solve for x, we solve the equation so the variable x is by itself on the left side: 4x + 3y = 4 x = 1 - 0.75y Solve for y To solve for y, we solve the equation so the variable y is by itself on the left side: 4x + 3y = 4 y = 1.333 - 1.333x Find slope The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 4x + 3y = 4 m = (y2 - y1)/(x2 - x1) m = (1.333 - 0)/(0 - 1) m = -1.333 Ax + By = C Calculator Now you know how to solve 4x + 3y = 4. Enter another math problem here: x + y = 4x + 3y = 5 Here is the next algebra problem on our list. Check it out! Answers are rounded to the nearest thousandth if necessary. If you want exact answers instead of rounded answers, then keep the fraction answers when you solve the equations instead of converting them to decimal numbers like we did. Copyright | Privacy Policy | Disclaimer | Contact