Answer:
The equation would be y = -3/4x + 31/4
Step-by-step explanation:
To write a line that goes between two points, you first must find the slope. You can do this using the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (7 - 4)/(1 - 5)
m = 3/-4
m = -3/4
Now to find the full equation, we need to use that slope along with one point in point-slope form.
y - y1 = m(x - x1)
y - 4 = -3/4(x - 5)
y - 4 = -3/4x + 15/4
y = -3/4x + 31/4
