Question

the point slope form of the equation of the line that passes through -9 ,-2 and 1,3 is Y -3 equals 1/2 X minus one what is the slope intercept form of the equation for this line

Answer 1

The slope-intercept form is
`y=(1)/(2)x+(5)/(2)`

Explanation:

The line that passes through (-9 ,-2) and (1,3)

The given point-slope form equation is:

`y-3=(1)/(2)(x-1)`

To find the slope intercept form, we expand the parenthesis and simplify;

`y-3=(1)/(2)x-(1)/(2)`

Solve for y;

`y=(1)/(2)x-(1)/(2)+3`

Simplify the constants;

`y=(1)/(2)x+(5)/(2)`