Answer:
-1
Step-by-step explanation:
Formula: [tex]y=mx+b[/tex]
Using two points:
Since we are given the [tex]y[/tex] and [tex]x[/tex] value, what is left is the [tex]m[/tex] and [tex]b[/tex] in the formula, which represent slope and the y-intercept.
Slope
[tex]m[/tex] is slope
Formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug points: [tex]\frac{3-(-2)}{4-9}[/tex]
Solve: [tex]\frac{5}{-5}[/tex]
Simplify: [tex]\bold{m=-1}[/tex]
Therefore, the slope is -1
Learn more:
y-intercept
[tex]b[/tex] is the y-intercept
Plug one of the points and the slope into the formula, solve for b: (4, 3)
[tex]3=-1(4)+b[/tex]
[tex]3=-4+b[/tex]
[tex]3+4=-4+b+4[/tex]
[tex]\bold{b=7}[/tex]
