Question

the slope of the line below is -4 write a point-slope equation of the line using the coordinates of the labeled point

Answer 1

y+9=-4(x-4)

Explanation:

Point-slope is the equation y-y1=m(x-x1), where y1 is your y-coordinate and x1 is your x-coordinate.

Answer 2

`y+9=-4(x-4)`

Explanation:

Linear equations can take various forms, such as:

• Point–slope form
• Two-point form
• Slope–intercept form
• Intercept form
• Standard form

The point-slope form of a linear equation is written as:

`y-y_1=m(x-x_1)`

Where:

`m=Slope\\x_1,y_1=Coordinates\hspace{3}of\hspace{3} any\hspace{3} point\hspace{3} of \hspace{3}the\hspace{3} line`

So, according to the data provided:

`m=-4\\x_1=4\\y_1=-9`

Replacing the data into the point-slope equation:

`y-y_1=m(x-x_1)\\\\y-(-9)=-4(x-4)\\\\y+9=-4(x-4)`

Therefore, the equation for the graph shown is:

`y+9=-4(x-4)`