VianeyR743149 VianeyR743149
  • 25-10-2022
  • Mathematics
contestada

use the point slope formula and the given points to choose the correct linear equation in slope intercept form (0,7) and (4,2)

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KitH441773 KitH441773
  • 25-10-2022

We have to write the equation of the line that passes through (0,7) and (4,2) in point-slope form.

We start by using the points to calculate the slope m:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-7}{4-0}=-\frac{5}{4}[/tex]

Then, if we use point (0,7), we can write the equation in point-slope form as:

[tex]\begin{gathered} y-y_0=m(x-x_0) \\ y-7=-\frac{5}{4}(x-0) \\ y=-\frac{5}{4}+7 \end{gathered}[/tex]

Answer: the equation is y = -(5/4)*x + 7

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