C. Write an equation of the line that contains the given point and has the given slope. Write the equation in slope intercept form: y = mx+b




6. (-2, 2), slope = -5
7. (0, -2), slope = 1

Respuesta :

corm

Answer:

Step-by-step explanation:

For the first problem, we can plug in the slope of [tex]-5[/tex] for [tex]m[/tex]:

[tex]y = -5x + b[/tex]

To solve for [tex]b[/tex], we plug in the given point [tex](-2, 2)[/tex]:

[tex]2 = -5(-2) + b[/tex]

[tex]2 = 10 + b[/tex]

[tex]b = -8[/tex]

This gives us the equation:

[tex]y = -5x -8[/tex]

For the second problem, we can plug in the slope of [tex]1[/tex] for [tex]m[/tex]:

[tex]y = x + b[/tex]

To solve for [tex]b[/tex], we plug in the given point [tex](0, -2)[/tex]:

[tex]-2 = 0 + b[/tex]

[tex]b = -2[/tex]

This gives us the equation:

[tex]y = x - 2[/tex]