Question

Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By=C. (0,0) (-1/5,1/8)

a) 8x - 5y = 0
b) 8x + 5y = 1
c) 5x - 8y = 0
d) 5x + 8y = 1

Answer 1

To find the equation of a line passing through two points in the form Ax + By = C, use the point-slope formula to find the slope and then substitute values into the equation.

Step-by-step explanation:

To find the equation of a line passing through two points in the form Ax + By = C, we can use the point-slope formula. First, find the slope of the line using the formula: slope = (y2 - y1) / (x2 - x1). Use the given points (0,0) and (-1/5,1/8) to calculate the slope. Then, choose one of the points and substitute the values into the equation y - y1 = m(x - x1). Once you have the equation in the form y - mx = b, rearrange it to Ax + By = C.

Using the given points, we get a slope of -13/4. Choosing the point (0,0), substituting the values into the point-slope formula, and rearranging, we get the equation 8x + 5y = 0.

So, the correct answer is a) 8x - 5y = 0.