Question

Write the following in point-slope form using the given information: Slope: 2 points

Answer 1

Answer:

$y+5 = \frac{1}{15}(x - 3)}$

Step-by-step explanation:

Given

$m = \frac{1}{15}$ -- Slope

$(x_1,y_1) = (3,-5)$ --- Point

Required

Write an equation in point slope form

The point slope form of an equation is:

$y - y_1 = m(x - x_1)$

Substitute values for y1, x1 and m

$y-(-5) = \frac{1}{15}(x - 3)}$

$y+5 = \frac{1}{15}(x - 3)}$

Hence, the equation in point slope form is:

$y+5 = \frac{1}{15}(x - 3)}$

Solving further to represent the equation in slope-intercept form, we have:

$y+5 = \frac{1}{15}(x - 3)}$

$y+5 = \frac{1}{15}x - \frac{1}{15}*3$

$y+5 = \frac{1}{15}x - \frac{1}{5}$

Make y the subject

$y= \frac{1}{15}x - \frac{1}{5}-5$

$y= \frac{1}{15}x - (\frac{1}{5}+5)$

$y= \frac{1}{15}x - (\frac{1+25}{5})$

$y= \frac{1}{15}x - (\frac{26}{5})$

$y= \frac{1}{15}x - \frac{26}{5}$