Slope intercept form: y = mx + b
m = slope
b = y-intercept
The line passes through the y-axis at the point (0, -5). So, -5 is the y-intercept.
We can use the points (0, -5) and (5, 0) to solve.
Slope formula: y2-y2/x2-x1
0-(-5)/5-0)
5/5
1
The slope is 1.
Substitute these values into the equation.
y = 1x + (-5)
y = x - 5
Therefore, the answer is [ y = x - 5 ]
Best of Luck!