Write an equation of the line satisfying the given conditions.
Slope = 0; y-intercept of 7
Is this correct
y= 7x or y = 7 (I think it is the first one)
If you match it up with the standard
y = mx + b
y = 0x + 7
so
y = 7
Yes, you are correct! The equation of a line with a slope of 0 and a y-intercept of 7 is y = 7.
To understand why this is the correct equation, let's break it down. The equation of a line in slope-intercept form is y = mx + b, where m represents the slope of the line and b represents the y-intercept.
In this case, the given slope is 0, which means the line is horizontal and does not rise or fall as x changes. As a result, the value of m is 0.
Since the y-intercept is given as 7, we can substitute the values m = 0 and b = 7 into the slope-intercept form equation y = mx + b:
y = 0x + 7
Simplifying the equation, the term 0x (which is always 0) drops out, leaving us with:
y = 7
Therefore, the equation of the line satisfying the given conditions is indeed y = 7.