Question

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

Answer 1

Answer: y=3x+2

Step by step:

Answer 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 $y = 3x + 2$.

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