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3 years ago

What is the slope for the line y=5x-4?

Mathematics

2 answers:

MatroZZZ [7]3 years ago

6 0

Answer:

m = 5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Function: y = 5x - 4

Step 2: Break Function

Identify Parts

Slope m = 5

y-intercept b = -4

Nataly_w [17]3 years ago

3 0

Answer:

M = 5

Step-by-step explanation:

When given an equation like y = 5x - 4, the slope will always be the number that comes before the x (5 in this case). The other number (-4) is the y-intercept.

I hope this helps!!

- Kay :)

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What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?

HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points $\left (x_{1},y_{1} \right )$ and $\left (x_{2},y_{2}\right )$

Since from the graph the two points closest to the line are $\left ( 10,36 \right )$ and $\left ( 22,12 \right ).$

Equation of line with two points closest to the line :

$y-y_{1}=m\cdot \left ( x-x_{1} \right )$

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First we find the slope(m)= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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on simplify we get, $m=-2$ .

Now, to find the equation of the line: $y-y_{1}=m\cdot \left ( x-x_{1} \right )$

$y-36=\left ( -2 \right )\cdot \left ( x-10 \right )$

Apply distributive property on right hand side, we get

$y-36=-2\cdot x+20$

Adding both sides by 36, we get

$y=-2x+20+36$

$y=-2x+56$ .

The equation for the linear model in the scatter plot obtained by the two closest point $\left ( 10,36 \right ) and \left ( 22,12 \right )$ closest to the line is,

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Hope this helps, happy learning!!!