Answer:
A
Step-by-step explanation:
Positive slope: as the x-value increases, the y-value increases.
Negative slope: as the x-value increases, the y-value decreases.
The slope of the graph is -1
As it has a negative sign, the graph has a negative slope.
As the slope is -1, this means that for every 1 unit increase of the x-value, the y-value decreases by 1 unit.
The line passes through (0, 3)
When the x-value is zero, the line intercepts the y-axis.
Therefore, the line will intercept the y-axis when y = 3.
Therefore, the graph of the line that passes through (0, 3) and has a slope of -1 is option A.
[tex]\begin{array}{|l|c|c|c|c|}\cline{1-5} & \sf Graph\:A & \sf Graph\:B & \sf Graph\:C & \sf Graph\:D \\\cline{1-5} \sf slope & \sf negative & \sf negative & \sf positive & \sf positive\\\cline{2-5} \sf & -1 & -1 & 1 & 1\\\cline{1-5} \sf y-intercept & (0,3) & (0,-3) & (0,-3) & (0,3)\\\cline{1-5}\end{array}[/tex]
