Question

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!A line passes through the points (8, –1) and (–4, 2).

Answer 1

The slope is -1/4 and the y-intercept is 1.

Hope this Helps!!

Answer 2

Answer:

The y-intercept of our given line = 1.

Step-by-step explanation:

We have been given that a line passes through the points (8,-1) and (-4, 2). We are asked to fine the y-intercept of the line.

We will use slope-intercept form of equation to solve our given problem.

$y=mx+b$, where,

m = slope,

b = y-intercept.

Let us find the slope of our line using slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$, where,

$y_2-y_1=\text{The difference between two y-coordinates}$

$x_2-x_1=\text{The difference between x-coordinates of same two y-coordinates}$.

Upon substituting coordinates of our given points in slope formula we will get,

$m=\frac{-1-2}{8--4}$

$m=\frac{-3}{8+4}$

$m=\frac{-3}{12}$

$m=-\frac{1}{4}$

Upon substituting $m=-\frac{1}{4}$ and coordinates of point (8,-1) in slope-intercept form of equation we will get,

$-1=-\frac{1}{4}*8+b$

$-1=-1*2+b$

$-1=-2+b$

Let us add 2 to both sides of our equation.

$-1+2=-2+2+b$

$1=b$

Therefore, the y-intercept of our given line is 1.