Question

Please help

A line with a slope of 1/5 passes through the point (-4,-3). What is its equation in point slope form?
A line that includes the point (1,3) has a slope of nine. What is its equation in point slope form?
A line with a slope of -10 passes through the point (-4,-1) what is this equation in point slope form?
There is a line that includes the point (9,3) and has a slope of -1/6 what is its equation in point slope form?
A line passes through the points (1,2) and (2,10). What is its equation in point slope form?
When answering all these questions, you specific points in the equation

Answer 1

1. We have a point $(-4,-3)$ and a slope of $1/5$. Using point-slope form, we get:

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

$y - (-3) = \frac{1}{5}(x - (-4))$

Simplifying, we get:

$y + 3 = \frac{1}{5}(x + 4)$

This is the equation in point-slope form.

2. We have a point $(1,3)$ and a slope of $9$. Using point-slope form, we get:

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

$y - 3 = 9(x - 1)$

This is the equation in point-slope form.

3. We have a point $(-4,-1)$ and a slope of $-10$. Using point-slope form, we get:

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

$y - (-1) = -10(x - (-4))$

Simplifying, we get:

$y + 1 = -10(x + 4)$

This is the equation in point-slope form.

4. We have a point $(9,3)$ and a slope of $-\frac{1}{6}$. Using point-slope form, we get:

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

$y - 3 = -\frac{1}{6}(x - 9)$

This is the equation in point-slope form.

5. We have two points $(1,2)$ and $(2,10)$. We can find the slope using the slope formula:

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{2 - 1} = 8$

Using point-slope form with the point $(1,2)$ and the slope $8$, we get:

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

$y - 2 = 8(x - 1)$

This is the equation in point-slope form.