Answer:
y = 3x -1
Explanation:
General equation of slope intercept:
y= mx +b , where m is the slope and b is the y intercept
>find slope for line going trough the points (x1=-3, y1=-10) and (x2=5,y2=14)
m = (y2-y1)/ (x2-x1) = (14- - 10)/ (5- -3)= (14+10)/ (5+3)= 24/8 = 3
m= 3
y= 3x +b
>find the y intercept by substituting one of the points in the equation
for (-3, -10) the equation should check because the point belongs to the line with this equation
y = 3x+b
-10 = 3*(-3) +b
-10 = -9 +b
-10+9 = b
-1 = b
> the equation in slope-intercept form of the line that passes through the points (-3,-10) and (5,14) is y = 3x -1