The slope is always m and y-int always b in a y=mx+b equation.
So: m= 3/4 and b= -2
Answer:
y = - 
x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x + 35 = - 5y ( add 5y to both sides )
5y + 9x + 35 = 0 ( subtract 9x + 35 from both sides )
5y = - 9x - 35 ( divide all terms by 5 )
y = - x - 7 ← in slope- intercept form
Answer:
the x-intercepts are (5, 0) and (-3, 0).
Step-by-step explanation:
The standard equation of a vertical parabola with vertex at (h, k) is
y = a(x - h)^2 + k.
Here we are told that the vertex is at (1, -16), which means that h = 1 and y = -16. Thus, we have:
y = a(x - 1)^2 + (-16).
We are told also that the graph passes through (0, -15). Substituting -15 for y and 0 for x, we get:
-15 = a(0 - 1)^2 - 16, or
-15 = a - 16
Then a must be 1, and the equation of the parabola is
y = (x - 1)^2 - 16.
Now to find the x-intercepts: Set y = 0 and solve for x:
0 = (x - 1)^2 - 16, or
(x - 1)^2 = 16, or
x - 1 = ±√16 = ±4
Then x = 1 ± 4, or x = 5 or x = -3, so the x-intercepts are (5, 0) and (-3, 0).
Answer:
c≈34.66
Step-by-step explanation:
