33.2k views
4 votes
Write the equation of the line in slope-intercept form that has (2,4) and (7,-1)

User Ali EXE
by
7.4k points

1 Answer

3 votes

Final answer:

The equation of the line passing through the points (2,4) and (7,-1) in slope-intercept form is y = -x + 6.

Step-by-step explanation:

To write the equation of a line in slope-intercept form, we need to find the slope and the y-intercept.

The slope of a line passing through the points (2,4) and (7,-1) can be found using the formula:

slope = (y2 - y1) / (x2 - x1).

Substituting the values, we get: slope = (-1 - 4) / (7 - 2)

= -5 / 5

= -1.

The y-intercept (b) can be found using the equation: y = mx + b.

Substituting one of the points, (2,4), and the slope, -1, we get:

4 = -1 * 2 + b.

Solving for b, we get: b = 6.

Therefore, the equation of the line in slope-intercept form is y = -x + 6.

User Frifle
by
8.0k 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