Answer:
y= -(2/5)x
Step-by-step explanation:
When you graph this line you can see it clearly passes through the point (5,-2)
Answer:
y + 2 = -2/5 (x - 5)
OR
y = (-2/5)x
Step-by-step explanation:
There are many ways you can find the equation.
There are two main ones, one called point-slope form, and the other called slope intercept form.
Point-slope form is easy. All you need a a point on the line, and the slope! Since they give you that in the question, all you need to do is plug things in.
Point slope form is y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])
x and y are any points. [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that the problem gives you. m is the slope.
The equation would be y + 2 = -2/5 (x - 5).
Slope intercept form is a bit harder. You need a point and the y-intercept.
Since you already have the slope, all you need to find is the y-intercept.
Slope intercept form is y = mx + b
x and y are the given points. m is the slope, and b is the y-intercept.
The y intercept is when the x value of a point is 0.
To find b, you can plug in the information you have, which is the point and the slope.
y = mx + b
-2 = (-2/5)(5) +b
-2 = -2 +b
b = 0
Since b is 0, the equation would just be y = (-2/5)x.
