Question

Write an equation of the line that passes through a pair of points: (-4, -3), (-3, 1)?

1) y = 4x - 13
2) y = -4x + 13
3) y = 4x + 13
4) y = 4x - 1/13

Answer 1

The correct equation of the line that passes through the points (-4, -3) and (-3, 1) is y = 4x + 13, which is calculated using the slope we found and the point-slope form.

Step-by-step explanation:

The equation of the line passing through the pair of points (-4, -3) and (-3, 1) can be found by calculating the slope (m) and using the point-slope form. First, we find the slope using the following formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the values from our points gives us:

m = (1 - (-3)) / (-3 - (-4))

m = 4 / 1

m = 4

Now that we have the slope, we can use the point-slope form (y - y1 = m(x - x1)) to write the equation of the line. We'll use the point (-4, -3) and the slope we've just calculated:

y - (-3) = 4(x - (-4)

y + 3 = 4x + 16

Subtract 3 from both sides to get:

y = 4x + 13

Therefore, the correct equation of the line through the points (-4, -3) and (-3, 1) is option 3) y = 4x + 13.