WRITE THE POINT-SLOPE FORM FOR THE EQUATION OF THE LINE DESCRIBED.
THROUGH (4,2), PARALLEL TO Y=-3/4X-5
To find the point-slope form of the equation of a line, we need two pieces of information: the slope of the line and a point it passes through.
Given that the line is parallel to y = -3/4x - 5, we know that the slope of the parallel line will be the same, -3/4.
We also have a point that the line passes through, which is (4, 2).
The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) represents the given point and m represents the slope.
Plugging in the values, we can write the equation as follows:
y - 2 = -3/4(x - 4)
And that is the point-slope form for the equation of the line described.