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Find the slope of the line that passes through the points (9, -2) and (4, 3)

Sagot :

ThePerfectionOne01

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]

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