167k views
3 votes
The slope of a line is 3/7 and the point (7, 5) lies on the line. What is the equation of the line in slope-intercept form?

User Ian Suttle
by
8.2k points

1 Answer

5 votes

Final answer:

The equation of the line in slope-intercept form is y = (3/7)x + 2.

Step-by-step explanation:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept.

In this case, the slope of the line is 3/7. Therefore, the equation of the line can be written as y = (3/7)x + b.

We are also given that the point (7, 5) lies on the line. We can substitute the coordinates of this point into the equation to find the value of b.

5 = (3/7)(7) + b

5 = 3 + b

b = 2

Therefore, the equation of the line in slope-intercept form is y = (3/7)x + 2.

User Maba
by
9.0k 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