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Ahat [919]
3 years ago
10

3. A line goes through the points (3,4) and (-3,6).

Mathematics
1 answer:
Galina-37 [17]3 years ago
7 0

Answer:

Part a) The slope is m=-\frac{1}{3}

Part b) The equation in point slope form is y-4=-\frac{1}{3}(x-3)

Part c) The equation in slope-intercept form is y=-\frac{1}{3}x+5

Step-by-step explanation:

we have the points (3,4) and (-3,6)

Part a) What is the slope of the line?

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given points

m=\frac{6-4}{-3-3}

m=\frac{2}{-6}

m=-\frac{1}{3}

Part b) Write the equation of the line in point-slope form

y-y1=m(x-x1)

we have

m=-\frac{1}{3}

point\ (3,4)

substitute

y-4=-\frac{1}{3}(x-3)  ---> equation in point slope form

Part c) Write the equation of the line in slope-intercept form

y=mx+b

we have

y-4=-\frac{1}{3}(x-3)

Isolate the variable y

distribute right side

y-4=-\frac{1}{3}x+1

Adds 4 both sides

y=-\frac{1}{3}x+1+4

y=-\frac{1}{3}x+5 ---> equation in slope intercept form

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