Respuesta :

BenjaminG123
Greetings!

We can use these points to find the slope of a line, using the slope formula: [tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]

Input the points: 
[tex]m= \frac{(5)-(2)}{(0)-(-2)}[/tex]

Combine like terms:
[tex]m= \frac{3}{2}[/tex]

The Slope is Equal to:
[tex]\boxed{\frac{3}{2}}[/tex]

To find the y-intercept of the line, we use the slope and the points. First, arrange the equation is slope y-intercept form:
[tex]y=mx+b[/tex]

Input the slope and one of the points:
[tex](5)=\frac{3}{2}(0)+b[/tex]

Combine like terms:
[tex](5)=b[/tex]

The y-intercept is Equal to:
[tex]\boxed{5}[/tex]

The Equation of the Line Is:
[tex]\boxed{y=\frac{3}{2}x+5}[/tex]

I hope this helped!
-Benjamin

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