Answer:
slope = 7/5
y-int = -3
Step-by-step explanation:
this equation is in slope-intercept form. in thsi form, the slope will always be the coefficient of x, and the y-intercept will always be the last constant, or the "b" term (dont forget to include the negative!)
About 39 cats are in the shelter
Answer:
B=0.10x+2
Step-by-step
sponsor b is paying .10 x 52 pins + $2. = 5.20 + 2 = 7.20
it isn’t the 2 times 52
it is not subtracting the money
and we have to consider the 52 pins as X
y-intercept: Let x = 0 and solve for y:
(x-1)^2 + (y-2)^2 = 10 => (-1)^2 + y^2 - 4y + 4) = 10
=> 1 + y^2 - 4y + 4 = 10, or y^2 - 4y -5 = 0
The solutions of this quadratic are y = 5 and y = -1.
Thus, the y-intercepts are (0, 5) and (0, -1).
Now find the x-intercepts: Let y = 0 and solve the resulting equation for x:
(x-1)^2 = 10 - (-2)^2, or (x-1)^2 = 10 - 4 = 6.
Taking the sqrt of both sides, x - 1 = plus or minus sqrt(6), or:
x = 1 +√6 and x = 1 - √6, so that the x-intercepts
are (1+√6, 0) and (1-√6, 0).