Question

Can somebody plz help me answer this question plz!

Answer 1

`y=-x+9`

Explanation:

This is asking you to write the equation in slope-intercept form:

`y=mx+b`

where:

• m is the slope
• b is the y-intercept
• x and y are any corresponding coordinate points (x,y)

You need to find the slope of the two given points using:

`(x_(1),y_(1))\\\\(x_(2),y_(2))\\\\(y_(2)-y_(1))/(x_(2)-x_(1))=slope`

Insert the values:

`(4_{x_(1)},5_{y_(1)})\\\\(-6_{x_(2)},15_{y_(2)})\\\\(15-5)/(-6-4) =(10)/(-10) =-(10)/(10) =-1`

The slope of the given line is -1. Insert this value into the equation:

`y=-1x+b\\\\y=-x+b`

Now insert one of the given coordinate points as x and y to solve for b:

`(4_(x),5_(y))\\\\5=-4+b\\\\5+4=-4+4+b\\\\9=b`

The y-intercept is 9. Insert the value:

`y=-x+9`

:Done