193k views
2 votes
Write the equation of the line through points (4,2) and (8,5)
ASAP please

1 Answer

4 votes

Answer:

y = (3/4)x - 1

Explanation:

Let's find an equation having the slope-intercept form of y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0)

Slope, m, can be calculated from the Rise/Run between the 2 given points (4,2) and (8,5):

Rise = (5 - 2) = 3

Run = (8-4) = 4

The slope is (3/4), giving us: y = (3/4)x + b

We need a value of b that shifts the line so that it intersects both points. Calculate b by using one of the two given points. I'll use (4,2):

y = (3/4)x + b

2 = (3/4)(4) + b

b = -1

The equation becomes y = (3/4)x - 1

See attached graph.

Write the equation of the line through points (4,2) and (8,5) ASAP please-example-1
User Sebastiaan
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories