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Makovka662 [10]
2 years ago
10

Write the equation of the line passing through points ( -2,-5) and (1,1)

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
8 0

Answer:

The equation of the line is:

y=2x-1

Step-by-step explanation:

Given the points

  • (-2, -5)
  • (1, 1)

Finding the slope between the points

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

\left(x_1,\:y_1\right)=\left(-2,\:-5\right),\:\left(x_2,\:y_2\right)=\left(1,\:1\right)

m=\frac{1-\left(-5\right)}{1-\left(-2\right)}

m=2

We know the slope-intercept form of the line equation

y=mx+b

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

substituting the value m=2 and the point (-2, -5) to find the b-intercept

y=mx+b

-5 = 2(-2) + b

b = -5+4

b = -1

Now, substituting m=2 and b=-1 in the slope-intercept form to get the equation of a line

y=mx+b

y=2x+(-1)

y=2x-1

Thus, the equation of the line is:

y=2x-1

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