Answer:
The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is −7 .
Step-by-step explanation:
Answer:
x = 6
, y = 4
Step-by-step explanation:
Solve the following system:
{x + y = 10
x - y = 2
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{x + y = 10
x - y = 2
Hint: | Solve for y.
Subtract x from both sides:
{y = 10 - x
x - y = 2
Hint: | Perform a substitution.
Substitute y = 10 - x into the second equation:
{y = 10 - x
2 x - 10 = 2
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{y = 10 - x
2 x - 10 = 2
Hint: | Isolate terms with x to the left hand side.
Add 10 to both sides:
{y = 10 - x
2 x = 12
Hint: | Solve for x.
Divide both sides by 2:
{y = 10 - x
x = 6
Hint: | Perform a back substitution.
Substitute x = 6 into the first equation:
{y = 4
x = 6
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 6
, y = 4
<span>3x²-9x is a binomial, so if you divide it by 3x, the quotient will also be a binomial:
</span><span>3x²-9x
--------- = x - 3 (answer)
3x</span>
For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)
