1) isolate y
4x + 5y = 60
-4x -4x
_____________
5y = -4x + 60
2) make y so that is is alone with no numbers beside it
5y = -4x + 60
__________
5
y = -4/5x + 60
3) the slope is ALWAYS the number to the left of x, even if it's a fraction. It's it a decimal, convert to a fraction. The last number (in this case is 60) is where the slope crosses the y-axis on the coordinate plane.
The slope is -4/5x + 60
a) The point-slope form of the equation of a line through point (h, k) with slope m is
y - k = m(x - h)
In point-slope form, the equation of the line through (-3, -7) with slope -6/5 is
y + 7 = (-6/5)(x + 3)b) The graph of
y = |x|-4
represents a
translation downward 4 units of the graph of
y = |x|
It
retains the same general shape and axis of symmetry, but will have two (2) x-intercepts instead of one (1).
Answer:
see explanation
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (6, 5) and (x₂, y₂ ) = (- 3, 1)
d = 
= 
= 
=
≈ 9.85 ( to 2 dec. places )
Answer:
Step-by-step explanation:
so what you want to do is take -1/4x+2 3/4 and solve for x and once you got what x is plug it in to the second part 1/2^x +1