Answer:
Part 1)
Part 2) The graph in the attached figure
Step-by-step explanation:
Part 1)
we know that
The linear equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept
we have
substitute in the linear equation
solve for b
substitute
Part 2) Draw the equation
we know that
To graph a line we need two points
we have the y-intercept (0,4) and (2,-4)
Plot the points, connect them and join to draw the line
see the attached figure
vertex= ?
axis line of symmetry equation?
Answer:
The vertex is at ( 3.5, -0.25)
and the axis of symmetry is x = 3.5.
Step-by-step explanation:
Convert to vertex form:
y = x^2 - 7x + 12
y = (x - 3.5)^2 - 3.5^2 + 12
y = (x - 3.5)^2 - 0.25
y = (x - 3.5)^2 - 0.25.
So the vertex is at ( 3.5, -0.25)
and
the axis of symmetry is x = 3.5.
The vertex of the parabola y = x² - 7x + 12 is at (3.5,-0.25) and the equation of the axis of symmetry is x = 3.5.
The given quadratic equation is y = x² - 7x + 12. To determine the vertex and the equation of the axis of symmetry, we need to first find the x-coordinate of the vertex, which is determined by the formula -b/2a. Here in our equation, a = 1 (coefficient of x²) and b = -7 (coefficient of x), so x = -(-7)/(2*1) = 3.5.
The x-coordinate of the vertex is thus 3.5. Now, to get the y-coordinate of the vertex, we substitute x = 3.5 into our equation, so y = (3.5)² - 7*(3.5) + 12 = -0.25. Therefore, the vertex of the parabola is at (3.5,-0.25). The line of symmetry of a parabola always passes through the vertex, so the equation of the axis of symmetry is x = 3.5.
#SPJ2
Answer:
717 divided by 9=239/3
85 divided by 8=85/8
200 divided by 5=40
Step-by-step explanation:
A hole 8 feet deep.
A temperature of 8°F.
An 8-yard pass.
Answer:
Step-by-step explanation:
a hole 8 ft deep.....would be -8 because it is -8 below ground level
u earn $ 8....thats +8
a temp of 8 F....thats a +8
an 8 yd pass....thats a + 8
Answer:
a hole 8 ft deep.....would be -8 because it is -8 below ground level