Question

Write an equation in point-slope form for the line that passes through the point with the given slope. point: (4,2) and m=-3/4

Answer 1

To write an equation in point-slope form for a line, use the formula y - y1 = m(x - x1). Given a point and slope, substitute the values into the equation and simplify to obtain the final equation is y = -3/4x + 5.

Step-by-step explanation:

To write an equation in point-slope form for a line, we use the formula y - y1 = m(x - x1).

Given that the point is (4,2) and the slope is -3/4, we substitute these values into the equation as follows:

y - 2 = -3/4(x - 4)

Simplifying the equation gives:

y - 2 = -3/4x + 3

Finally, we can rewrite the equation in point-slope form as:

y = -3/4x + 5