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What do parallel lines have in common?
y=-5x+7
When lines are parallel, they have the same slope.
y= -5x+ 4
In the given equation, we can see that the line has a slope of -5. Therefore we know that all lines that are parallel to our given line will have a slope of -5. This means we can write a general equation in slope-intercept form for all lines parallel to the given equation.
Now that we have the y-intercept, we can write the equation for the line that is parallel to y=-5x+4 and passes through the point (1,2). y= -5x+ 7