Question

please help, make sure that its correct ;) really appreciated. can you please explain to me please because i dont just want the answers i wanna learn

Answer 1

Hello!

Slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line intersects the y-axis).

To write the equation of the graph, first find slope. You can find slope by calculating the change in y-values divided by the change in x-values using the formula:


`( y_(1)- y_(2) )/(x_(1) -x_(2) )`

Your values for
`y_(1) , y_(2) , x_(1) ,` and
`x_(2)` will use the coordinates plotted on the graph--(2, 6) and (-4, -6). Plug them in and solve to get slope.


`(6-(-6))/(2-(-4))`

`(6+6)/(2+4)`

`(12)/(6)`

`(12)/(6) =2`

The slope of the line is 2.

As you can see, the graph intersects the y-axis at (0, 2); that is your y-intercept. You now have all the information you need to write the equation of the graph in slope-intercept form:

y = mx + b
y = 2x + 2

To calculate the slope of the second graph, repeat the steps above for solving for slope using coordinates.


`(8-5)/(8-(-4))`

`(3)/(8+4)`

`(3)/(12)`

`(1)/(4)`

The slope of the second line is
`(1)/(4)`.