Question

what is an equation that psses through the lines (0,-8) and (-6,-3)

Answer 1

Answer:

$y = -\dfrac{5}{6}x - 8$

Step-by-step explanation:

To find the equation of a line passing through the points $(0, -8)$ and $(-6, -3)$, we can use the point-slope form of a linear equation, which is:

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

where $(x_1, y_1)$ are the coordinates of a point on the line, and $m$ is the slope of the line.

First, let's find the slope ($m$) using the given points:

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

$m = \dfrac{-3 - (-8)}{-6 - 0}$

$m = \dfrac{-3 + 8}{-6}$

$m = \dfrac{5}{-6}$

$m = -\dfrac{5}{6}$

Now that we have the slope, let's use one of the points (let's use $(0, -8)$) and the slope to write the equation of the line:

$y - (-8) = -\dfrac{5}{6}(x - 0)$

$y + 8 = -\dfrac{5}{6}x$

To write the equation in slope-intercept form ($y = mx + b$), we need to solve for $y$:

$y = -\dfrac{5}{6}x - 8$

So, the equation of the line passing through the points $(0, -8)$ and $(-6, -3)$ is:

$y = -\dfrac{5}{6}x - 8$

Answer 2

Answer:

y = -5/6x - 8

Step-by-step explanation:

We use the point-slope form y - y1 = m(x - x1).

First, we find the slope with the two points (0,-8) and (-6,-3).

We see the y increase by 5 and the x decrease by 6, so the slope is

m = -5/6

Now, we subtitute the number in.

y - (-8) = -5/6(x - 0)

y + 8 = -5/6x

y = -5/6x - 8