129k views
5 votes
A line has a slope of 8 3 and passes through the point (9,7). write its equation in slope-intercept form.

User Nico Toub
by
8.2k points

1 Answer

4 votes

Final answer:

To find the equation of a line with a given slope and a point it passes through, insert the values into the slope-intercept form and solve for the y-intercept. The equation of the line with slope 8/3 and passing through the point (9,7) is y = (8/3)x - 17.

Step-by-step explanation:

To write the equation of a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept, we can use the given slope m = 8/3 and the point it passes through, which is (9,7). First, we substitute the slope and the coordinates of the point into the slope-intercept equation to find b:

  • y = mx + b
  • 7 = (8/3)(9) + b
  • 7 = 24 + b
  • b = 7 - 24
  • b = -17

The equation of the line is therefore y = (8/3)x - 17.

User Bam
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