Question

What is an equation of the line that passes through the points (4,-2) and (-1,3)

Answer 1

The answer would be y=-x-4

3-(-2)/-1-4 is the slope
Simplified, the slope is -1
So far, we have y=-1x+b.
We know that 4,-2 is a point on this line, so we plug it in.
-2=-1(-2)+b which is the same as -2=2+b
Therefore b=-4
Then plug b back in. We get
y=-x-4 which is the answer

Answer 2

Answer:

The slope is -1.

Step-by-step explanation:

To find an equation of the line that passes through the points, you have to use the slope formula.

Slope:

$\Rightarrow \sf{\dfrac{y_2-y_1}{x_2-x_1} }$

y2=3

y1=(-2)

x2=(-1)

x1=4

Solve.

3--2/-1-4=5/-5=-1

The slope is -1.