What are two consecutive odd integers that sum 160

To find it we need the slope m and a point that the line passes thorugh. In this case we have the point (8,10) but we don't know the slope. What we know is that the line we are looking for is parallel to the line

$y=2x-5$

We also know that for two lines to be parallel they have the same slope. Then, if we fin the slope of the line y=2x-5, we have the slope of the line we are looking for. To find the slope of the line y=2x-5 we note that it is written in the slope-intercept form

$y=mx+b$

From this we know that the slope is multiplying the x variable when it is written in that form. Hence m=2.

Then the line we are looking for has an slope of 2 and passes through the point (8,10). Pluggin the values in the equation of a line we have.

$y-10=2(x-8)$

Writting it in the slope intercept form we have

$\begin{gathered} y-10=2(x-8) \\ y-10=2x-16 \\ y=2x-16+10 \\ y=2x-6 \end{gathered}$

Then the line parallel to y=2x-5 and passes through the point (8,10) is

$y=2x-6$

5 0

1 year ago

Y=x2+3x+2 y=x2+5x-4 solutions

Klio2033 [76]

Answer:

Slope = 1

x-intercept = 2/1 = 2.00000

y-intercept = 2/-1 = -2.00000

Step-by-step explanation:

Pulling out like terms :

2.1 Pull out like factors :

-2x + 2y + 4 = -2 • (x - y - 2)

Equation at the end of step 2 :

-2 • (x - y - 2) = 0

Step 3 :

Equations which are never true :

3.1 Solve : -2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

3.2 Solve x-y-2 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x-y-2 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/-1 so this line "cuts" the y axis at y=-2.00000

y-intercept = 2/-1 = -2.00000

Calculate the X-Intercept :

When y = 0 the value of x is 2/1 Our line therefore "cuts" the x axis at x= 2.00000

x-intercept = 2/1 = 2.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.000 and for x=2.000, the value of y is 0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.000 - (-2.000) = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 1

Geometric figure: Straight Line

Slope = 1

x-intercept = 2/1 = 2.00000

y-intercept = 2/-1 = -2.00000

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6 0

3 years ago

GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST AND POINT

Trava [24]

Answer:

i think its the third option

7 0

3 years ago

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