33.3k views
2 votes
Write the slope-intercept form of the equation of each line.

Write the slope-intercept form of the equation of each line.-example-1
User Ian Kemp
by
7.9k points

1 Answer

3 votes

The equation of the blue line in slope-intercept form is: y = 2x - 3

Since we are given that the line passes through the point (1, 1), we can plug these values into the equation to solve for `b`, the y-intercept.

1 = (2)(1) - 3 + b

1 = 2 - 3 + b

1 = -1 + b

b = 1 + 1

b = 2

Therefore, the equation of the blue line in slope-intercept form is:

y = 2x + 2

The slope of the line is 2. This means that for every 2 positions you move up vertically, you must also move 1 position to the right horizontally.

When x is 1, y is 1 + (2)(1) = 3

Therefore, the equation of the line in slope-interpret form where y is 1 and x is 1 is:

y = 3

User Eliza Brock Marcum
by
8.3k 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