Question

Write the equation of a line given the following information:27) The line passes through (74) and (-2, -1)

Answer 1

We are asked to find the equation of the line that passes through the points (7, -4) and (-2, -1)

So we start by finding the slope that joins the two points using the slope formula:

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

in our case:

slope = (-1 - (-4)) / (-2 - 7) = 3/ (-9) = - 1/3

So the slope is "-1/3".

Now we use the point-slope form of the line to find the full equation. We use the point (-2, -1) for that purpose:

y + 1 = - 1/3 ( x + 2)

then we have:

y + 1 = - 1/3 x - 2/3

solving for y;

y = - 1/3 x - 2/3 - 1

y = - 1/3 x - 5/3