Writing Linear Equations Answers

Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.

y – 7 = (–4/3)(x + 4)y + 7 = (–3/4)(x – 4)y – 4 = (–8/7)(x + 7)✔ y+ 4 = (–7/8)(x – 7)

y = (–4/3)x + (5/3)✔ y = (–7/8)x + (17/8)y = (–8/7)x – 4y = (–3/4)x – 4

The slope of the line is .

Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario?

The y-intercept of the line is .

The linear function is .

Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.

Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8).

Which equations represent a line that passes through the points given in the table? Check all that apply.

What is the equation of the line in slope-intercept form?

After 2 hours, there are 1,400 mL of fluids remaining in a patient’s IV. The fluids drip at a rate of 300 mL per hour. Let x be the time passed, in hours, and y be the amount of fluid left in the IV, in mL. Write a linear function that models this scenario.