Answer:
[tex]\huge\boxed{y = \frac{3}{4}x+1}[/tex]
Step-by-step explanation:
Finding the slope (m) first:
Given the coordinates (-8 , -5) and ( 4 , 4 )
Slope = [tex]\sf \frac{Rise}{Run}[/tex]
Slope = [tex]\sf \frac{y2-y1}{x2-x1}[/tex]
Slope = [tex]\frac{4 + 8}{4+5}[/tex]
Slope = [tex]\frac{12}{9}[/tex]
Slope = m = [tex]\frac{3}{4}[/tex]
Finding y - intercept (b) :
Taking a coordinate say (4,4)
And putting it in slope intercept form along with b
y = mx+b
Where y = 4 , m = 3/4 and x = 4
4 = (3/4)(4) + b
4 = 3+b
4-3 = b
1 = b
So,
b = 1
Putting m and b now in slope-intercept equation:
y = mx+b
[tex]y = \frac{3}{4}x+1[/tex]
