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

Answer:

The slope-intercept form is $y=\frac{1}{2}x+\frac{5}{2}$

Step-by-step explanation:

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

The given point-slope form equation is:

$y-3=\frac{1}{2}(x-1)$

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

$y-3=\frac{1}{2}x-\frac{1}{2}$

Solve for y;

$y=\frac{1}{2}x-\frac{1}{2}+3$

Simplify the constants;

$y=\frac{1}{2}x+\frac{5}{2}$