Answer:
y = [tex]\frac{3}{4}[/tex] x
Step-by-step explanation:
The equation of a line passing through the origin (0, 0 ) is
y = mx ( where m is the slope )
m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{3}{4}[/tex], thus
y = [tex]\frac{3}{4}[/tex] x
Answer:
The equation of the line passing through (0,0) and (4,3) is [tex]y=\frac{3}{4} x[/tex]
Solution:
Given pair of points are (0,0) and (4,3)
Here, [tex]x_{1}=0 ; y_{1}=0 ; x_{2}=4 ; y_{2}=3[/tex]
We know the slope of an equation is given by y = mx+c
Where “m” is the slope of the line and “c” is the y-intercept
To find the value of m, we use the below given formula
[tex]\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Substituting the values we get,
[tex]\mathrm{m}=\frac{3-0}{4-0}=\frac{3}{4}[/tex]
Putting the value of m in the slope intercept form we get,
[tex]y=\frac{3}{4}x + c[/tex]
To find the value of c, we substitute the value of x and y from any two given point. Lets take x = 4 and y = 3
[tex]\begin{array}{l}{3=\frac{3}{4}(4)+c} \\ {3=3+c} \\ {c=0}\end{array}[/tex]
Therefore the slope intercept equation becomes [tex]y=\frac{3}{4} x[/tex]
