Question

Please help me out with this

Answer 1

y = 6x - 2. The equation that describes how x and y are related is given by y = 6x - 2.

If we look the table of the image, we can see that the graph that describes the relation between x and y is a straight line.

The set of infinite points aligned in the same direction is known as straight line and its main equation has the form y = mx + b, where m is the slope, and b the y-intercept.

In order to solve this problem, we need to find the slope which is
`m = (y_(2)-y_(1) )/(x_(2)- x_(1))`

Solving m for two points of the straight line, Let's take (0, -2) and (1, 4):

`m = (4-(-2))/(1 - (0))=(6)/(1) \\m = 6`

We can see if we take two points in order from the table always obtain the value m = 6, which means for each unit of x, y increase 6 units.

To find the y- intercept (0, y), from the table of the image we can see when x = 0, y = -2.

Writing the equation y = mx + b, with m = 6 and b = -2:

y = 6x -2

Answer 2

y=6x-2

Explanation:

to find the 6 you have to see the difference in the y values and the y values are going up by 6 each time. the -2 comes from the y intercept. to find the y intercept you have to see when x=0 which in this table is -2

hope i helped