Question

Find the slope and y-intercept for the two linear functions.

Answer 1

Answer: Slope of the line given in the table: m = - 0.25

Y-intercept of the line given in the table: b = -4

Slope of the line given by the equation: m = 1.5

Y-intercept of the line given by the equation: b = 1

Step-by-step explanation: Slope of an equation is an indication of the steepness and direction of a linear graph. It is denoted as m and it can be calculated as:

m = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

Another way of determining the slope is as the form:

y = mx+b

For the table:

As in the table there are only points:

m = $\frac{-3 + 2.5}{-4+6}$

m = - 0.25

For the function:

The function is:

y = 3/2x + 1

m = 3/2

m = 1.5

Y-intercept is where the linear function crosses the y-axis, or when x=0. It can also be represented by the letter b.

For the table:

y = mx + b

According to the table, when y = -2.5, x = -6

-2.5 = - 0.25. (-6) + b

b = -2.5 - 1.5

b = -4

For the function:

y = 1.5x + 1

b = 1

In conclusion:

• For the table: m = - 0.25 b = - 4
• For the equation: m = 1.5 b = 1

Answer 2

Answer:

Find the slope and y-intercept for the two linear functions.

A 2-column table with 5 rows. Column 1 is labeled x with entries negative 6, negative 4, 2, 5, 9. Column 2 is labeled y with entries negative 2.5, negative 3, negative 4.5, negative 5.25, and negative 6.25. y = three-halves x + 1.

Identify the slope of the line given in the table:  

✔ -1/4

Identify the y-intercept of the line given in the table:

✔ -4

Identify the slope of the line given by the equation:

✔ 3/2

Identify the y-intercept of the line given by the equation:  

✔ 1

Step-by-step explanation:

I literally just did it on edge 2020.