Get comprehensive solutions to your questions with the help of IDNLearn.com's experts. Join our interactive community and get comprehensive, reliable answers to all your questions.

What is the equation of the line that passes through the point (-7,4)(−7,4) and has a slope of 0?

What Is The Equation Of The Line That Passes Through The Point 7474 And Has A Slope Of 0 class=

Sagot :

Explanation:

From the question, we have a point and the slope of the line given.

To get the equation of line, a point slope equation will be used:

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \text{where m = slope} \\ (x_{1,}y_1)\text{ is the given point} \end{gathered}[/tex]

Given point: (-7, 4)

m = 0

substitute in the equation:

[tex]\begin{gathered} y\text{ - 4 }=\text{ 0(x - (-7))} \\ y\text{ - 4 = 0(x + 7)} \\ y\text{ - 4 = 0} \\ y\text{ = 4} \end{gathered}[/tex]

Note: whenever the slope of a line is zero, the equation will be in the form y = b

where b is the value of the y coordinate of the given point. Also th