3 years ago

Find the equation of the line through the points (-3-3) and (5,4) Give your answer in slope intercept form.

1 answer:

8 0

Hello :

Hello : let A(-3,-3) B(5,4)
the slope is : (YB - YA)/(XB -XA)
(4+3)/(5+3) =7/8
an equation is : y=ax+b a is a slope

y = (7/8)x +b

the line through point (5,4) : 4 = (7/8)(5)+b
b = - 3/8
the equation is : y =(7/8)x- 3/8

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3 years ago

which of the following represents the equation of the line with an x- intercept of 6 that passes through the point (4,4)?

luda_lava [24]

Answer:

$y=-2x+12$

Step-by-step explanation:

To write the equation of a line, find the slope between two points. Substitute two points into the slope formula. If the equation has an x-intercept of 6 then the line passes through the point (6,0). Use (6,0) and (4,4) in the formula.

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-0}{4-6} =\frac{4}{-2} =-2$