Question

Drag and drop numbers into the equation to complete the equation of the line in slope-intercept form.

The line passes through (7, 13) and (4,1).
The equation of the line is y =
X +
15
-15
4

Answer 1

y = 4x - 15

Explanation:

Find slope (m) using of the line that passes through (7, 13) and (4, 1).

`slope (m) = (y_2 - y_1)/(x_2 - x_1) = (1 - 13)/(4 - 7) = (-12)/(-3) = 4`

Find y-intercept (b) by substituting x = 4, y = 1, and m = 4 in y = mx + b.

Thus:

1 = (4)(4) + b

1 = 16 + b

Subtract 16 from each side

-15 = b

b = -15

substitute m = 4, and b = -15 in y = mx + b, to get the equation.

The equation of the line would be:

✅ y = 4x + (-15)

y = 4x - 15