Write the equation of the line that passes through (0, 1) and (2, -5). ○ y = -3x + 3 ○ y = -3x - 1 ○ y = 3x...

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Question 3
Write the equation of the line that passes through (0, 1) and (2, -5).
○ y = -3x + 3
○ y = -3x - 1
○ y = 3x + 1
○ y = -3x + 1
Question 4
The equation is -2x - y = -4. Which description correctly identifies its graph?
○ x-intercept at (-2, 0)
y-intercept at (0, -4)
○ x-intercept at (2, 0)
y-intercept at (0, 4)
○ x-intercept at (2, 0)
y-intercept at (0, -2)
○ x-intercept at (4, 0)
y-intercept at (0, 2)

SnapAndSolve AI · Accepted Answer

To find the equation of the line passing through (0, 1) and (2, -5), we first calculate the slope (m):

m = (y2 - y1) / (x2 - x1) = (-5 - 1) / (2 - 0) = -6 / 2 = -3

Using the point-slope form y - y1 = m(x - x1) with point (0, 1):

y - 1 = -3(x - 0)

Simplifying gives:

y = -3x + 1

The correct answer is: y = -3x + 1
Rewriting the equation -2x - y = -4 in slope-intercept form (y = mx + b):

y = -2x + 4

The y-intercept is at (0, 4). To find the x-intercept, set y = 0:

0 = -2x + 4

Solve for x:

2x = 4

x = 2

The x-intercept is at (2, 0).

The correct description is: x-intercept at (2, 0), y-intercept at (0, 4)

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Write the equation of the line that passes through (0, 1) and (2, -5). ○ y = -3x + 3 ○ y = -3x - 1 ○ y = 3x...

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