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Write the equation of the line, in point-slope form. Identify the point, Use the box provided or the upload option to submit all of your calculations and final answer.

Write the equation of the line in pointslope form Identify the point Use the box provided or the upload option to submit all of your calculations and final answ class=
Write the equation of the line in pointslope form Identify the point Use the box provided or the upload option to submit all of your calculations and final answ class=
Write the equation of the line in pointslope form Identify the point Use the box provided or the upload option to submit all of your calculations and final answ class=
Write the equation of the line in pointslope form Identify the point Use the box provided or the upload option to submit all of your calculations and final answ class=
Write the equation of the line in pointslope form Identify the point Use the box provided or the upload option to submit all of your calculations and final answ class=

Respuesta :

point slope: y - y1 = m(x - x1), m is the slope

first picture

points (-4,-1) and (3,-3)
the slope between these points is

slope = (-3 - 1)/( 3 - (-4) ) = -2/7

if (x1, y1) = (-4, -1), then the slope-point form is

y + 1 = -2/7(x + 4)

___________

second picture (horizontal line)

from the graph, the slope is 0 because there is no rise for a horizontal line.
if (x1, y1) = (-2, 1), then the point slope form is

y - 1 = 0(x + 2)

_____________

third picture

from the graph, we have points (-2,2) and (2,-2) on the line. the slope is

slope = (-2 - 2)/(2 - (-2) ) = -1

if (x1, y1) = (-2,2), then point slope form is

y - 2 = -1(x + 2)

______________

fourth picture

if points (-2,-1) and (2,1) are on the graph, then slope is

slope = (1 - (-1) ) / (2 - (-2) ) = 1/2

with (x1, y1) = (-2,-1), the point slope form is

y + 1 = 1/2(x + 2)

_______________

fifth picture

we have points (-1,-2) and (1,2). the slope is

slope = (2 - (-2) ) / (1 - (-1) ) = 2

with (x1, y1) = (1,2), the point slope form is

y - 2 = 2(x - 1)

Equation of line in point slope form is,  y = mx + c , where m is slope of line.

Equation of line in point slope form, [tex]y=-\frac{2}{7}x-\frac{15}{7}[/tex]

Since, given line passing through points (-4, -1) and (3, -3)

Now find slope of line,

                  [tex]m=\frac{-3-(-1)}{3-(-4)}\\\\m=\frac{-2}{7}[/tex]

Equation of line,  [tex]y=-\frac{2}{7}x +c[/tex]

Since, line passing through point (3, -3). So, substituting point (-3, 3) in above equation of line.

                        [tex]-3=-\frac{2}{7}*3+c\\\\c=-3+\frac{6}{7} \\\\c=-\frac{15}{7}[/tex]

Now, equation of line becomes,

                       [tex]y=-\frac{2}{7}x -\frac{15}{7}[/tex]

Learn more:

https://brainly.com/question/16118797

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