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3 years ago

8

Write an equation is point slope form of a line given that the slope is 2/3 and that the line

1 answer:

a_sh-v [17]3 years ago

6 0

Y-y1=m(x-x1)
y-(-2)=2/3(x-5)
y+2=2/3x-10/3
y=2/3x-10/3-2
=> y=2/3x-16/3

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NEED HELP GIVING BRAINLIEST

Pie

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We need two points through which the line passes to find the slope:

$(0, -4)\\(1,0)$

We found the slope:

$m = \frac {y2-y1} {x2-x1}\\m = \frac {0 - (- 4)} {1-0} = \frac {4} {1} = 4$

So, the equation is of the form:

$y = 4x + b$

We substitute a point to find "b":

$-4 = 4 (0) + b\\-4 = b$

Finally, the equation is:

$y = 4x-4$

Answer:

Option D

4 0

3 years ago