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mariarad [96]
3 years ago
11

What is the equation in point-slope form of a line that passes through the points (7, −8) and (−4, 6) ?

Mathematics
2 answers:
pav-90 [236]3 years ago
6 0

Answer:

C.y-6=-\frac{14}{11}(x+4)

Step-by-step explanation:

We are given that a line passes through the points (7,-8) and (-4,6).

We have to find the equation in point-slope form of a line .

Slope formula:m=\frac{y_2-y_1}{x_2-x_1}

Using the formula

Slope of line=m=\frac{6+8}{-4-7}

Slope of line=m=\frac{14}{-11}=-\frac{14}{11}

Point-slope form: y-y_1=m(x-x_1)

Substitute the values then we get

Equation of line which passing through the point (-4,6) with slope -14/11

y-6=-\frac{14}{11}(x+4)

Hence option C is true.

Gala2k [10]3 years ago
5 0
(7,-8)(-4,6)
slope = 6 - (-8) / (-4 - 7) = (6 + 8) / -11 = -14/11

point slope : y - y1= m(x - x1)
(-4,6)...x1 = -4 and y1 = 6
now we sub
y - 6 = -14/11(x - (-4) =
y - 6 = -14/11(x + 4) <===
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