Identify the correct graph for the following equation: 5x-2y+10=0
The correct graph for the equation 5x-2y+10=0 is a straight line. Since there is no variable with an exponent of 2 or higher, the graph will not be a curve. The equation is in standard form, which can be rewritten in slope-intercept form (y = mx + b) by isolating y:
5x - 2y + 10 = 0
-2y = -5x - 10
y = (5/2)x + 5
The slope of the line is 5/2, meaning it will go up 5 units for every 2 units to the right. The y-intercept is 5, which is the point where the line crosses the y-axis.
The correct graph for this equation will have a slope of 5/2 and pass through the point (0,5).