You have to determine which graph shows a line with x-intercept -2 and y-intercept 4
The x-intercept is the point where the line crosses the x-axis, at this point, the y-coordinate is zero. So the x-intercept must have coordinates (-2,0)
The y-intercept is the point where the line crosses the y-axis, at this point the x-coordinate is zero. So the y-intercept of the line we have to identify has coordinates (0,4)
You have to determine the x and y-intercepts of each line graphed and compared with the given coordinates.
Assuming each dot corresponds to one unit:
Graph A
The line crosses the x-axis at point (2,0) and the y-axis at point (0,-4)
→ The x-intercept and y-intercept of this line do not correspond to the line we are looking for.
Graph B
The line crosses the x-axis at point (2,0) and the y-axis at point (0,4)
→ The x-intercept and y-intercept of this line do not correspond to the line we are looking for.
Graph C
The line crosses the x-axis at point (-2,0) and the y-axis at point (0,-4)
→ The x-intercept and y-intercept of this line do not correspond to the line we are looking for.
Graph D
The line crosses the x-axis at point (-2,0) and the y-axis at point (0,4)
→ The x-intercept and y-intercept of this line correspond to the line we are looking for.
So the line that has x-intercept -2 and y-intercept 4 is the one in graph D