Question

Construct a linear equation for the linear data presented in the table

Answer 1

• (-2,14)
• (0,0)

Slope

• m=y/x
• m=14/-2
• m=-7

Equation of line

• y=mx+0
• y=-7x

Answer 2

Answer:

y = -7x

Explanation:

Take two points from table: (-4, 28), (-3, 21)

Find slope:

$\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points$

$\rightarrow \sf slope\ (m): \dfrac{21-28}{-3-(-4)} = -7$

Now find equation:

$\sf y - y_1 = m (x - x_1)$

$\rightarrow \sf y - 21 = -7(x - (-3))$

$\rightarrow \sf y = -7(x +3) + 21$

$\rightarrow \sf y = -7x -21 + 21$

$\rightarrow \sf y = -7x$