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brilliants [131]
2 years ago
7

Helpppppppppppppppp ill mark you brainlist write in y=mx+b form

Mathematics
1 answer:
Sholpan [36]2 years ago
7 0

Answer:

The equation of the line in slope-intercept form is:

  • y\:=\:\frac{-10}{7}x-\frac{45}{7}

Step-by-step explanation:

Given the points

  • (-8, 5)
  • (-1, -5)

Finding the slope

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-8,\:5\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-5\right)

m=\frac{-5-5}{-1-\left(-8\right)}

m=-\frac{10}{7}

We know the slope-intercept form of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept

5\:=\:\frac{-10}{7}\left(-8\right)+b

\frac{80}{7}+b=5

b=-\frac{45}{7}

now substituting m = -10/7 and b = -45/7 in the slope-intercept form

y = mx+b

y\:=\:\frac{-10}{7}x+\left(-\frac{45}{7}\right)

y\:=\:\frac{-10}{7}x-\frac{45}{7}

Thus, the equation of the line in slope-intercept form is:

  • y\:=\:\frac{-10}{7}x-\frac{45}{7}
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