match the equation with its graph. -6/7x - 1/2y = 3/7
http://www.wolframalpha.com/input/?i=-6%2F7x+-+1%2F2y+%3D+3%2F7
To match the given equation with its graph, we first need to put the equation in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
Given equation: -6/7x - 1/2y = 3/7
Step 1: Move the x term to the other side of the equation:
-6/7x = 3/7 + 1/2y
Step 2: Get the y term separated on one side:
1/2y = -6/7x - 3/7
Step 3: Multiply both sides of the equation by 2 to eliminate the fraction:
y = -12/7x - 6/7
Now that we have the equation in slope-intercept form, we can identify that the slope (m) is -12/7 and the y-intercept (b) is -6/7.
To graph the equation, we start by plotting the y-intercept on the y-axis. In this case, the y-intercept is -6/7.
Next, using the slope of -12/7, we can find another point on the line. The slope indicates that for every 7 units we move horizontally (x-axis) to the right, we need to move 12 units vertically (y-axis) downwards. So, starting from the y-intercept, we can move 7 units to the right and 12 units down to find another point.
Once we have at least two points, we can connect them with a straight line.