What is the equation in point slope form of the line that passes through the point (−2, 4) and has a slope of 5?


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Use point-slope form: y − y1= m(x − x1)

Attached file with numbers

What is the equation in point slope form of the line that passes through the point 2 4 and has a slope of 5 Drag and drop the appropriate number symbol or varia class=

Respuesta :

y-4=5(x-(-2)  the subtraction sign cancels out


Answer:

[tex]y-4=5(x+2)[/tex]

Step-by-step explanation:

1. Write the point-slope equation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

2. Name the points given as:

[tex]x_{1}=-2[/tex]

[tex]y_{1}=4[/tex]

[tex]m=5[/tex]

3. Replace the points in the point-slope equation and solve the parenthesis:

[tex]y-y_{1}=m(x-x_{1})[/tex]

[tex]y-4=5(x-(-2))[/tex]

[tex]y-4=5(x+2)[/tex]

[tex]y-4=5(x+2)[/tex]