How can you write the equation for a linear function if you know only two ordered pairs for the function?

Mathematics

2 answers:

zlopas [31]3 years ago

8 0

Answer:

Use the two ordered pairs to find the slope, m.

Then substitute one set of ordered pairs and m into y = mx + b to solve for b

Step-by-step explanation:

If we are given two ordered pairs of a function and we need to write an equation that represents the linear function, first, what we need to do is to use the two ordered pair to find the slope, m, using the formula, $m = \frac{y_2 - y_1}{x_2 - x_1}$ .

After getting the slope (m), find the value of the y-intercept (b), by substituting the value of one of the ordered pairs and the slope value (m) into y = mx + b.

Once the value of m and b is known, plug in the value of m and b into y = mx + b to derive the equation of the linear function.

Deffense [45]3 years ago

4 0

Answer:

Use the two ordered pairs to find the slope, m .

Then substitute m and one set of ordered pairs into y = mx + b to solve for b .

Step-by-step explanation:

You might be interested in

Luis received a discount of $24 on his new phone, which had an original price of $140. By what percentage was the original price

RUDIKE [14]

Answer:

17%

Step-by-step explanation:

$140x(discount percentage d)= $24

d= (24/140)= 17%

8 0

3 years ago

An investigation of the relationship between height of a child and age (in months) found that age explained 64% of the variation

marusya05 [52]

Answer:

r = 0.8

Step-by-step explanation:

The correlation coefficient, "r", represents the correlation between the independent and dependent variable. The closer "r" is to 1, the better the correlation. Likewise, if "r" is closer to 0, there will be hardly any correlation.

The coefficient of determination, R², is the proportion of the variation in the dependent variable that is predictable from the independent variable, or how well the data fits the regression model.

In this case, since R²=64%=0.64, then r=√(0.64)=0.8

This means that there is a strong correlation between age and height.

7 0

3 years ago

August hosted two dinner parties for his friends. Twenty guests attended the first party, and twenty-eight guests attended the s

Neporo4naja [7]

25+25x=27
25x=2 
x=2/25 
x=.08 
8%

8 0

3 years ago

Lisa wants to frame her little brothers drawing as a gift to her mother.the rectangle drawing is 43.5 centimeters by 934 millime

konstantin123 [22]

Answer: