The slope-intercept form is [tex]y=\frac{1}{2} x+5[/tex].
Solution:
Given data:
Slope of the line, m = [tex]\frac{1}{2}[/tex].
Point on the line = (–2, 4)
Here [tex]x_1=-2, y_1=4[/tex]
Let us find the slope-intercept form of the line using point-slope formula.
Point-slope formula:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]$y-4=\frac{1}{2} (x-(-2))[/tex]
[tex]$y-4=\frac{1}{2} (x+2)[/tex]
[tex]$y-4=\frac{1}{2} x+1[/tex]
Add 4 on both sides of the equation.
[tex]$y=\frac{1}{2} x+5[/tex]
Hence the slope-intercept form is [tex]y=\frac{1}{2} x+5[/tex].
