Writing linear equations

What is the average speed of the car in miles per minute? 0.75 mile(s) per minute What is an equation of the line that represents n, the number of mile marker passed, as a function of t, time in minutes? n - 6 = 0.75(t - 8)

Ava wants to figure out the average speed she is driving. She starts checking her car's clock at mile marker 0. It takes her 4 minutes to reach mile marker 3. When she reaches mile marker 6, she notes that 8 minutes total have passed since mile marker 0.

y = 3x + 1

Fill in the blanks to write an equation in slope-intercept form representing the function shown in the table.

m= 1 y-5 = -1(x+3) -x + 2

Write the equation of the line MN, which formed by the points M(-3,5) N(2,0)

(0,2) x +y = 2x - y = 2

What is the y-intercept of line MN? What is the equation of MN written in standard form?

y-6 = -5/4 (x+2) y-1 = -5/4 (x-2) y= 3.5 = -1.25x

Which equations represent the data in the table? Check all that apply.

If the model is good, then both points will check in the equation. Substituting 8 for x and 5 for y in the equation results in 56 - 50 = 3, which is not true. Therefore, the model is not good. Using (-12, -9) as a check results in -84 + 90 = 3. The constant value in the equation should be 6, not 3. In slope-intercept form, the y-intercept should be -3/5.

Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and (-12, -9). He writes the equation7x - 10y = 3. Is this a good model? Explain your reasoning

f(t) = 1.5t + 5

Jacob is training for a marathon. His plan is to run the same distance for 3 days a week, then increase that distance by the same amount each week of training. During week 6, Jacob runs 14 miles per day, which is 1.5 miles more per day than he ran during week 5. Which equation represents the daily running distance, in miles, as a function of time, t, in weeks?

5x + 4y = 80

Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining balance of $0. Which equation represents the relationship between y, the remaining balance on Renata's gift card, and x, the number of songs purchased?

5F + -9C = 160 39 F = 3.9C

The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.

y= -4/3x + 5/3 4x + 3y = 5

A line is drawn through (-7, 11) and (8, -9). The equation y - 11 = (x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.

C. y+4=x

Line AB goes through the points A (0, -4) and B (6, 2). Which equation represents line AB?