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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
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1 Answer

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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
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