Question

write an equation in slope-intercept form for the line that passes through (-2,2) and is parallel to 2x+4y=16

Answer 1

Answer:

y = -1/2x + 6

Step-by-step explanation:

We know that the slope intercept form of a line is .

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.

So the slope of the equation will be .

Finding the y-intercept (c):

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.