Question

Use the given information to write the equation of each line

Answer 1

Answer:

y = -3x - 1

Step-by-step explanation:

The slope-intercept form of an 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 two points (1, -4) and (-2, 5).

Substitute:

$m=\dfrac{5-(-4)}{-2-1}=\dfrac{5+4}{-3}=\dfrac{9}{-3}=-3$

Substitute the value of a slope and the coordinates of the point (1, -4) to the equation of a line:

$-4=-3(1)+b$

$-4=-3+b$            add 3 to both sides

$-4+3=-3+3+b$

$-1=b\to b=-1$

Finally:

$y=-3x-1$