Respuesta :
Answer:
y=4
Step-by-step explanation:
Slope equal 0 means you have a horizontal line. Horizontal lines are all of the form y=a where a is the constant you have to figure out. Our horizontal line goes through (2,4) and the coordinate there is 4 so the line is y=4.
The equation in slope-intercept form that describes a line through (2, 4) with slope 0 is y = 4 .
What is slope-intercept form of equation of straight line ?
The equation of a straight line in the form y = mx + c where m is the slope of the line and c is its y-intercept is known as the slope-intercept form. Here both the slope (m) and y-intercept (c) have real values. It is known as slope-intercept form as it gives the definition of both the slope and y-intercept.
How to form the given equation of straight line ?
It is given that the line passes through (2,4) and it has slope 0 .
Thus, general equation of straight line is y = mx + c
Slope(m) = 0
∴ y = c
The y-coordinate of the point is 4 , so c = 4
Thus, the equation of a straight line in slope-intercept form is -
y = 0*(x) + 4
∴ y = 4 .
Therefore, the equation in slope-intercept form that describes a line through (2, 4) with slope 0 is y = 4 .
To learn more about slope-intercept form, refer -
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