Math, asked by cherrylujan143, 3 months ago

Write in slope-intercept form an equation of the line that passes through the given points. (−1, −1), (1, 5)

Answers

Answered by gianna21
3

Answer: y=3x+2

Step by step:

Answered by ushmagaur
2

Answer:

The equation in the slope-intercept form is y = 3x + 2.

Step-by-step explanation:

To find:-

The equation of the line in slope-intercept form that passes through the points (-1, -1) and (1, 5).

Consider the given points as follows:

(x_1,y_1)=(-1,-1)

(x_2,y_2)=(1,5)

As we know,

The slope of the line passing through 2 points is,

m = \frac{y_2-y_1}{x_2-x_1}

Substitute the values of x_1,x_2,y_1 and y_2 as follows:

m = \frac{5-(-1)}{1-(-1)}

   = \frac{5+1}{1+1}

   = \frac{6}{2}

m = 3

Thus, the slope of the line is 3.

Then,

The equation of the line is,

y-y_1=m(x-x_1)

y - (-1) = 3(x - (-1))

y + 1 = 3(x + 1)

y + 1 = 3x + 3

y = 3x + 2

Notice that the equation is in the form y = mx + c.

Therefore, the equation in slope-intercept form is y = 3x + 2.

#SPJ3

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