Question

Find an equation for the line that passes through the points (-4.-2) and (5,1)

Answer 1

Answer:

y= $\frac{1}{3}$x-$\frac{2}{3}$

Step-by-step explanation:

The first step to making an equation of a line is finding the slope. To do this, we can use the point slope formula: $\frac{y_2-y_1}{x_2-x_1}$

In this case,

y2=1

y1= -2

x2=5

x1= -4

plug this into the formula: $\frac{1-(-2)}{5-(-4)}$, which gives us 3/9, or 1/3 as the slope.

Now we have the equation y=1/3x+b. Let's find b! We can do this by plugging in one of the points into our new equation, let's use (5,1)

1=y, 5=x

1=$\frac{1}{3}$(5)+b

b= -$\frac{2}{3}$

now, we plug b= -2/3 into our equation, and we finally get y= $\frac{1}{3}$x-$\frac{2}{3}$