Respuesta :

Answer: The slope intercept form of the line is [tex]y=-\frac{9}{8}x+7[/tex].

Explanation:

From the figure it is noticed that the line passing through two points (0,7) and (8,-2).

If a line passing through two points then the equation of line is,

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

The lines passing through (0,7) and (8,-2),

[tex]y-7=\frac{-2-7}{8-0} (x-0)[/tex]

[tex]y-7=\frac{-9}{8} (x)[/tex]

Add 7 to both sides.

[tex]y=\frac{-9}{8} (x)+7[/tex]

Therefore, the slope intercept form of the line is [tex]y=-\frac{9}{8}x+7[/tex].

calculista

Answer:

[tex]y=-\frac{9}{8}x+7[/tex]

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

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

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

[tex]b=7[/tex] ------> because the point [tex](0,7)[/tex] is the y-intercept

point [tex](8,-2)[/tex]

substitute the value of x , y and b in the equation to solve for m

[tex]y=mx+b[/tex]------> [tex]-2=m(8)+7[/tex]

[tex]m(8)=-2-7[/tex]

[tex]m=-9/8[/tex]

therefore

the equation is equal to

[tex]y=-\frac{9}{8}x+7[/tex]