Match the equation with its graph.
4x-7y=-28
To match the equation 4x - 7y = -28 with its graph, we can solve the equation for y and rewrite it in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
4x - 7y = -28
Rearranging the equation:
-7y = -4x - 28
Dividing by -7:
y = (4/7)x + 4
Now we can compare the equation to the slope-intercept form:
The equation y = (4/7)x + 4 has a slope (m) of 4/7 and a y-intercept (b) of 4.
To graph this equation, we start by plotting the y-intercept at (0, 4). From there, use the slope 4/7 to determine the next point. In this case, since the slope is positive, the line will rise as we move to the right. The numerator of the slope, 4, indicates the vertical change (rise) and the denominator, 7, indicates the horizontal change (run). So, starting from (0, 4), we can move up 4 units and to the right 7 units to get the next point, and so on.
Here is the matching graph for the equation 4x - 7y = -28:
Graph:
https://www.desmos.com/calculator/jmkvzltbnu