Question

Use point-slope form to write the equation of a line that passes through the point left bracket, 16, comma, 10, right bracket
(
16
,
10
)
(16,10) with slope 5
5
5.

Answer 1

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Using the given point (16, 10) and slope 5, we can substitute these values into the point-slope form equation:

y - 10 = 5(x - 16)

Expanding the equation, we get:

y - 10 = 5x - 80

Finally, rearranging the equation to slope-intercept form (y = mx + b), we have:

y = 5x - 70

So the equation of the line passing through the point (16, 10) with slope 5 is y = 5x - 70.