In this case, we'll have to carry out several steps to find the solution.
Step 01:
7.
Data
point 1 ( -4 , -2) x1 = -4 y1 = -2
point 2 ( 3 , 3 ) x2 = 3 y2 = 3
Step 02:
Slope formula
m = (y2 - y1) / (x2 - x1)
[tex]m\text{ = }\frac{(3-(-2))}{(3-(-4))}=\text{ }\frac{3+2}{3+4}=\frac{5}{7}[/tex]Slope-intercept form of the line
y = mx + b
intercept (0 , 1 )
b = 1
m = 5 / 7
y = 5/7 x + 1
The answer is:
y = 5/7 x + 1