Question

A linear relationship Is shown in the table for them to bring to write the algebraic rule in slope intercept form

Answer 1

y = -4x - 2

Explanation:

Let the equation of the line represented by the table given is,

y = mx + b

Here m = slope of the line

b = y-intercept of the line

Since, slope of a line 'm' passing through two points
`(x_1,y_1)` and
`(x_2,y_2)` is given by,

m =
`(y_2-y_1)/(x_2-x_1)`

Therefore, slope of a line passing through (-2, -10) and (0, -2) will be,

m =
`(-10+2)/(-2-0)`

m = 4

At x = 0, value of y will be the y-intercept.

Therefore, (0, -2) will represent the y-intercept.

Equation of the line will be,

y = 4x + (-2)

y = 4x - 2