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Which is the equation in point-slope form of the line that contains points A and E?

Which is the equation in point-slope form of the line that contains points A and E-example-1
User Vibol
by
8.2k points

2 Answers

4 votes

Answer:

Point-slope form:
y-4=(3)/(4)(x-4)

Explanation:

We are given some points on coordinate plane.

We need to find the equation of line in point slope form which passes through A and E

First we write the coordinate of point A and Point E

Point A: (-4,-2)

Point E: (4,4)

Formula:


y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)


y-4=(-2-4)/(-4-4)(x-4)


y-4=(3)/(4)(x-4)

where,


slope=(3)/(4)

Hence, The slope point form of line is
y-4=(3)/(4)(x-4)

User Korobko Alex
by
8.6k points
6 votes

Answer:

y+2 = 3/4(x+4)

or with the other point

y-4 = 3/4 (x-4)

Explanation:

We can find the slope of the line since we have 2 points

A(-4,-2) and E(4,4)

m = (y2-y1)/(x2-x1)

= (4--2)/(4--4)

= (4+2)/(4+4)

=6/8

= 3/4

Then we can use point slope form

y-y1 = m(x-x1)

y--2 = 3/4 (x--4)

y+2 = 3/4(x+4)

or with the other point

y-4 = 3/4 (x-4)

User Nikhil Biju
by
8.3k points

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