The given line passes through the points -4, - 3 and 4, 1 what is the equation in point-slope form of the line that is perpendicular to the given line and passes through the point -4,3

y - 3 = -2(x + 4)

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

Slope equation from two points: y2-y1/x2-x1

The first step is to find the slope of the perpendicular line. Use the slope equation from above.

1 - (-3)/4 - (-4)

4/8

1/2

The slope of the line with the points (-4, -3) and (4, 1) is 1/2. To find the perpendicular slope, find the opposite reciprocal of 1/2. The answer is -2.

Now that you have a point and a slope, you can plug the values in to the point slope form equation from above.

y - 3 = -2(x + 4)

in the simple case, the two triangles point x and y are congruent because every corresponding side has the same length, and every corresponding angle has the same measure.