Question

which equation represents the line that passes through the points (- 3, 7) and (9, - 1) ^ prime; which equation represents a line that is parallel to the line y=-3x+4; what is the equation of the line passing through the points (2/5 19/20); what is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?; what method can be used to write the equation of a line in slope-intercept form given two points?; what is the equation of the line that passes through the points (15, 9) and (-2, 9)?; which is a characteristic of the line that passes through the points (6, 10) and (12, 7)?; which can be the first step in finding the equation of the line that passes through the points

Answer 1

1. The equation of the line is:

y=-2x/3 + 5

2. The equation of the line in slope intercept form is:

y=3x+5

1. Given:

we have two points:

(-3,7) = (x₁,y₁)

(9,-1) = (x₂,y₂)

equation of the line is:

y - y₁ = m(x-x₁)

₁first calculate slope m = y₂-y₁/x₂-x₁

m = -1-7/9-(-3)

m = -8/12

m = -2/3

now, y - 7 = -2/3 (x-(-3)

y-7=-2/3(x+3)

y-7=-2x/3-2

y=-2x/3-2+7

y=-2x/3 + 5

hence equation of the line is y=-2x/3 + 5

2. Given two points:

(2, 11) and (4, 17)

(2, 11) = (x₁,y₁)

and (4, 17) = (x₂,y₂)

slope intercept form:

y=mx+c

we need to calculate the m value:

m = 17-11/4-2

m = 6/2

m=3

now substitute in the given form:

y - 11 = 3(x-2)

y-11=3x-6

y=3x-6+11

y=3x+5

Hence we get the required answer.

Learn more about Slope intercept form here:

brainly.com/question/1884491

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