Find the y intercept of -2,5 and 3,25

Y-intercept = 13

Step-by-step explanation:

Since, given points are:  

(-2,5) and (3,25)

Now, by slope intercept form:

y= mx + b

Here, m= slope and b= y-intercept

In order to find y-intercept, we must find slope firstly:  

Since,

Slope= m= y2-y1 / x2-x1  

m= 25 - 5 / 3 - (-2)

m= 20 / 5  

m= 4  

Put ‘m’ in slope intercept form:

y= 4x + b  

Substitute either point into above equation:

25= 4(3) +b

25= 12 + b  

25 - 12 = b

or b= 25 - 12

b= 13

Hence, y-intercept is 13.  

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is