Answer:
[tex]y = - \frac{5}{2} x + 4[/tex]
Step-by-step explanation:
The equation of a line in slope-intercept form is given by y= mx +c, where m is the slope and c is the y-intercept.
Start with the slope when forming the equation.
Given that the slope is [tex] - \frac{5}{2} [/tex], [tex]m = - \frac{5}{2} [/tex].
Substitute the value of m into the equation:
[tex]y = - \frac{5}{2} x + c[/tex]
The value of c can be found by substituting a pair of coordinates that the line passes through.
When x= -2, y= 9,
[tex]9 = - \frac{5}{2} ( - 2) + c[/tex]
9= 5 +c
c= 9 -5
c= 4
Thus, the equation of the line is [tex]\bf{y = - \frac{5}{2} x + 4}[/tex].
Additional:
What is a linear equation?
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