SOLUTION: Write an equation in slope intercept form of the line whose y-intercept is 4 and the line is parallel to the line whose equation is 6x+2y=5
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Question 716321: Write an equation in slope intercept form of the line whose y-intercept is 4 and the line is parallel to the line whose equation is 6x+2y=5 Answer by solver91311(24713) (Show Source):
The -intercept is NOT 4. An intercept is a point -- in this case a point in . Such points must be designated by an ordered pair, hence 4 is the -coordinate of the the -intercept, and the -intercept is the point .
Step 1 is to calculate the slope of the line represented by the given equation. Since this equation is in Standard Form, divide the opposite of the coefficient on by the coefficient on to calculate the slope.
Parallel lines have identical slopes, so you now have the slope of the desired line.
Step 2: Use the point-slope form:
where are the coordinates of the given -intercept point and is the slope calculatedd above.
Step 3: Solve the resulting equation for in terms of everything else to put the equation into slope-intercept form.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it