The equation of the line will be y = [tex]\dfrac{1}{5}x + \dfrac{12}{5}[/tex]
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
First, we need to find the equation of the line that is given:
We can use the formula,
[tex]m = \dfrac{y_1 - y_2}{x_1-x_2}[/tex]
[tex]m=\dfrac{-3-(-4)}{0-(-5)}=\dfrac{1}{5}[/tex]
So the equation for this line is
y = (1/5) x - 3
This means that the equation for the line we are trying to find has a slope of as well
Let's put the points in the equation and try to find the y-intercept:
2 = [tex]\dfrac{1}{5}[/tex] ( -2 ) + b
[tex]\dfrac{15}{5} = b[/tex]
So the final equation for the line we are trying to find is y = [tex]\dfrac{1}{5}x + \dfrac{12}{5}[/tex]
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