x+y=6 and x+3y=10 on graph with working
Answers
Step-by-step explanation:
The equations are x + y = 6 and x+3y=10
- Write the equation in slope-intercept form y = mx + b, where m is slope and b is y - intercept.
- y = - x + 6. Make the table of values to find the solutions that satisfy the equation.
We recognize that we have here an equation of a straight line. Such an equation is usually written y=mx+b
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+3y-10 = 0 and calculate its properties.
A similar technique is used for x+3y=10 as well... Kindly refer to attachment below for graphs. You can use online apps to draw graphs and can try them out (this is just a suggestion)
Tips:
1. If possible, rewrite the equation so that one of the variables is isolated on one side of the equation.
2. Plot these points on a rectangular coordinate system.
33. Connect the points with a smooth line.
Hope it helps!!!
