Question

Find the equation of the line. Use exact numbers.

y = ?x + ?

Answer 1

y = -2.4x + 5

Explanation:

Note that the y-intercept is (0, 5).

Thus, the framework y = ?x + ? becomes y = ax + 5.

The x-intercept is (2.5, 0), as seen in the graph. b = 0. Then, y = ax + 5 becomes

0 = a(2.5) + 5, which in turn becomes 2.5a = -5.

Solving for the coefficient a, we get a = -5/2.5, or a = -2, and the equation of the line is thus

y = -2x + 5

Answer 2

`y=-2x+5`

Explanation:

Slope (m):
`(y_2-y_1)/(x_2-x_1)`

I will be using (1,3) and (-1,7) to find the slope:

`m=(y_2-y_1)/(x_2-x_1)\\\\m =(7-3)/(-1-1)\\\\m=(4)/(-2)\\\\m=-2`

`y=mx+b`

`y=-2x+b`

(1,3)

`y=-2x+b\\3=-2(1)+b\\3=-2+b\\+2 +2\\5=b`

`y=-2x+5`

Hope this helps!