3x - 4y = 4 - Number Maniacs

3x - 4y = 4 Here we will show you how to calculate and provide solutions to math problems related to 3x - 4y = 4. We will start by calculating and showing you the solution for the x-intercept and y-intercept of 3x - 4y = 4. Then, we will show you how to get the graph plot coordinates for 3x - 4y = 4 so we can illustrate it on a graph. Finally, we will solve 3x - 4y = 4 for x and also for y, then calculate and show you the solution for the slope of 3x - 4y = 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. 3x - 4y = 4 3x - 4(0) = 4 x1 = 1.333 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. 3x - 4y = 4 3(0) - 4y = 4 y2 = -1 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 3x - 4y = 4 as follows: (x1,y1) and (x2,y2) (1.333,0) and (0,-1) Solve for x To solve for x, we solve the equation so the variable x is by itself on the left side: 3x - 4y = 4 x = 1.333y + 1.333 Solve for y To solve for y, we solve the equation so the variable y is by itself on the left side: 3x - 4y = 4 y = 0.75x - 1 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 3x - 4y = 4 m = (y2 - y1)/(x2 - x1) m = (-1 - 0)/(0 - 1.333) m = 0.75 Ax - By = C Calculator Now you know how to solve 3x - 4y = 4. Enter another math problem here: x - y = 3x - 4y = 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