92.9k views
0 votes
Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.

a
y = 3x − 7

b
y = 3x − 5

c
y = 5x − 11

d
y = 5x − 9

1 Answer

3 votes

Answer:

Option C

y=5x-11

Explanation:

We first find the gradient,m, of the line that passes through the points (3,4) and (2,-1)

Let

x=3

y=4


x_1=2


y_1=-1


m=(y - y_1)/(x - x_1)

By substitution,


m=(4-(-1))/(3-2)=(4 + 1)/(1) = (5)/(1)=5

Putting that m=5, x=3 and y=4 into the general equation,

y=mx+c

This implies that

4=5(3)+c

4=15+c

4-15=c

c=-11

The equation of the line is given as

y=mx+c

where m=5 and c=-11

Hence y=5x-11

User Potherca
by
8.4k 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