Question

The equation of line GH is y = 4x − 3. Write an equation of a line perpendicular to line GH in slope-intercept form that contains point (2, 3). (5 points)

Answer 1

Answer:

The equation of this line is y = -1/4x - 7/2

Step-by-step explanation:

To find this, we need to first look for the slope. Perpendicular slopes have opposite and reciprocal slopes. Since the original line has a slope of 4, this means the new one has a slope of -1/4.

Given that slope, we can find the equation by starting with the base form of point-slope form.

y - y1 = m(x - x1)

Now put the slope in for m and the two coordinates in for (x1, y1).

y - 3 = -1/4(x - 2)

Now that we have this, solve for y for the slope-intercept form.

y - 3 = -1/4x + 1/2

y = -1/4x + 7/2