Question

Write the equation of the line in slope-intercept form using the two points: E(-1, 3) and F(-2, -3).

Answer 1

Answer:

$\large\boxed{y=6x+9}$

Step-by-step explanation:

The slope-intercept form of the equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

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

We have the points E(-1, 3) and F(-2, -3). Substitute:

$m=\dfrac{-3-3}{-2-(-1)}=\dfrac{-6}{-2+1}=\dfrac{-6}{-1}=6$

Therefore the equation of a line is:

$y=6x+b$

Put the coordinates of the point E(-1, 3) to the equation and solve it for b:

$3=6(-1)+b$

$3=-6+b$             add 6 to both sides

$9=b\to b=9$

Finally we have:

$y=6x+9$