# Write an equation of the line that passes through the points. (2, 5), (0, 5) Question
Linear equations and graphs Write an equation of the line that passes through the points.
(2, 5), (0, 5) 2021-01-17
The equation of a line can be written as
y−y1=m(x−x1)
where (x1,y1) is either point that lies upon that line. Let us find the slope, this will become our m.
m=(y2−y1)/(x2−x1)
Plugging in our two points gets us to:
m=(5−5)/(2−0)  ⟹  m=0
When we have a slope of 0, it indicates that our line is horizontal. Thus the equation of the line can simply be:
y=y0, and in this case both of our points have a y-coordinate of 5. Thus, our equation is:
y=5 ​

### Relevant Questions Write the equation of a line perpendicular to $$\displaystyle{y}=\frac{{1}}{{4}}{x}-{5}$$ that passes through the point (-1,2) Find the value of r so the line that passes through each pair of points has the given slope. (r, -5), (3, 13), m = 8 A line passes through the point (2, 1) and has a slope of $$\frac{-3}{5}$$.
What is an equation of the line?
A.$$y-1=\frac{-3}{5}(x-2)$$
B.$$y-1=\frac{-5}{3}(x-2)$$
C.$$y-2=\frac{-3}{5}(x-1)$$
D.$$y-2=\frac{-5}{3}(x-1)$$ A graph of a linear equation passes through ( -2,0) & (0,-6) is the 3x-y=6, both ordered pairs solutions for the equation Find an equation in standard form of the line passing through (- 3, - 1) with slope 3. Given linear equation y = -0.75x-5
a. find the y-intercept and slope.
b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.
c. use two points to graph the equation. Given linear equation y = 0.5x – 2
a. find the y-intercept and slope.
b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.
c. use two points to graph the equation.   