In order to calculate the equation of the line y=mx+b, first we would need to calculate the slope with the following formula:
slope=(y2-y1)/(x2-x1)
line passes through points (-4, -5); (2, 3)
So
Slope=(3+5)/(2+4)
slope=8/6
slope=4/3
Therefore, by substitute at the equation of the line a x point like 2 and a y point like 3 we would be able to calculate the equation of the line as follows:
y=mx+b
3=4/3*2 + b
3- 8/3=b
b=1/3
The equation of a line would be y=4/3x + 1/3