Question

Write the equation of the line through each point.

Use slope-intercept form.

Through (6,2), and perpendicular to -3x + y =1

Answer 1

The equation would be y = -1/3x + 4

Explanation:

The first step to finding this equation needs to be solving the first equation for y so that we can find the slope.

-3x + y = 1

y = 3x + 1

Now that we have the slope of 3, we know the slope of a perpendicular line would be -1/3. This is because perpendicular lines have opposite and reciprocal slopes. We can then use this and the point to solve in point-slope form.

y - y1 = m(x - x1)

y - 2 = -1/3(x - 6)

y - 2 = -1/3x + 2

y = -1/3x + 4