Question

5) Find the equation of the line that passes through: (-3, 3), with slope = 0

Answer 1

y = 3

Step-by-step explanation:

To find equation of a line given the points(x, y) and the slope, we need to determine the intercept.

A linear function is in the form:

y = mx + c

where m = slope

c = intercept

The given points = (-3, 3)

x = -3, y = 3

The slope = 0

Now, we will insert the value of x, y and m in order to determine the intercept (c):

`\begin{gathered} 3\text{ = 0}*(-3)\text{ + c} \\ 3\text{ = 0 + c} \\ 3\text{ = c} \\ c\text{ = 3} \end{gathered}`

Now, let's insert the value of c together with the slope in the equation: y = mx+c:

y = 0(x) + 3

y= 0 +3

y = 3

Therefore, the equation of the line that passes through point (-3, 3) with slope equal to 0​ is y = 3