Answer:
y = -1/2x + 6
Step-by-step explanation:
We know that the slope intercept form of a line is [tex]y=mx+c[/tex].
Also, if two lines are parallel, they have the same slope. So re-writing the given equation 2x + 4y = 10 in the slope intercept form to find know its slope.
[tex]2x + 4y = 10\\\\4y=-2x+10\\\\y=\frac{-2}{4} +\frac{10}{4}\\ \\y=\frac{-1}{2} +\frac{10}{4}[/tex]
So the slope of the equation will be [tex]-\frac{1}{2}[/tex].
Finding the y-intercept (c):
[tex]y=mx+c\\\\2=-\frac{1}{2} (8)+c\\\\c=6[/tex]
Therefore, the equation of the line n slope intercept form that is parallel to 2x + 4y = 10 and passes through the point (8, 2) is y = -1/2x + 6.
