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3 years ago

Help Please I need Slope= y-intercept=(0, )

Mathematics

2 answers:

alexgriva [62]3 years ago

3 0

The y-intercept is -5 and the slope is 4

nignag [31]3 years ago

3 0

For this case, we must find the slope of the line. For this we need two points, observing the graph we have:

$(x_ {1}, y_ {1}) = (2,3)\\(x_ {2}, y_ {2}) = (0, -5)$

The slope is given by:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}\\m = \frac {-5-3} {0-2}\\m = \frac {-8} {- 2}\\m = 4$

Thus, the slope is 4.

The line of the graph is of the form $y = mx + b$

$y = 4x + b$

Substituting a point:

$3 = 4 (2) + b\\3 = 8 + b\\b = 3-8\\b = -5$

So, the cut point with the y axis is -5

Answer:

$m = 4\\b = -5$

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Read 2 more answers

Which of the following equations describes the line shown below? Check all<br> that apply.

scoundrel [369]

Answer:

B. y = 2x - 2

E. $y + 4 = 2(x + 1)$

F. $y - 6 = 2(x - 4)$

Step-by-step explanation:

The equation of the line can be found using either the point-slope equation or the slope-intercept equation.

✔️Equation of the line in point-slope using the slope and the coordinates of the point (4, 6):

Slope = m = change in y/change in x

Using (4, 6) and (-1, -4),

m = (-4 - 6)/(-1 - 4)

m = -10/-5

m = 2

Substitute m = 2, and (a, b) = (4, 6) into the point-slope equation form $y - b = m(x - a)$

Thus:

$y - 6 = 2(x - 4)$

✔️Equation of the line in point-slope using the slope and the coordinates of the point (-1, -4):

Slope = m = 2

Substitute m = 2, and (a, b) = (-1, -4) into the point-slope equation form $y - b = m(x - a)$

Thus:

$y - (-4) = 2(x - (-1))$

$y + 4 = 2(x + 1)$

✔️Equation of the line in slope-intercept form, y = mx + b

Where,

m = slope = 2

b = y-intercept = -2 (the point where the line intercepts the y-axis)

Thus, substitute m = 2 and b = -2 into y = mx + b

y = 2x + (-2)

y = 2x - 2

6 0

2 years ago