Match the equation with its graph 4x - 7y = -28
To determine the graph that matches the equation 4x - 7y = -28, we can rearrange the equation into slope-intercept form, y = mx + b.
Starting with the original equation:
4x - 7y = -28
Move the 4x term to the other side of the equation:
-7y = -4x - 28
Divide every term by -7 to isolate y:
y = (4/7)x + 4
Now, we can identify the slope (m = 4/7) and the y-intercept (b = 4).
The graph of the equation y = (4/7)x + 4 would be a line with a slope of 4/7 that passes through the y-intercept of (0, 4).
Therefore, the correct graph for the equation 4x - 7y = -28 is a line with a slope of 4/7 that intersects the y-axis at the point (0, 4), and it extends infinitely in both directions.