Question

A line passes through point (-4,4) snd has a slope of 5/4. Write an equation in Ax+By=C form for this line. Use integers for A, B, C

Answer 1

Explanation:

To write the equation of a line in the form Ax + By = C, we can use the slope-point form of a line:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line.

In this case, the slope of the line is 5/4, and the point is (-4, 4). Substituting these values into the equation, we get:

y - 4 = (5/4)(x + 4)

Expanding the right side of the equation, we get:

y - 4 = (5/4)x + 5

Finally, rearranging the equation, we get:

5y - 20 = 4x + 20

So the equation of the line in the form Ax + By = C is:

4x + 5y = 20