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Nataly [62]
3 years ago
13

Can anyone help me solve 23, 24?

Mathematics
1 answer:
zimovet [89]3 years ago
8 0

Answer:

Problem 23) y=3x+6

Problem 24) y=-\frac{1}{3}x-5

Step-by-step explanation:

step 1

Find the slope of the given line

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

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

we have

A(0,2)\ B(3,1)

Substitute the values

m=\frac{1-2}{3-0}

m=-\frac{1}{3}

step 2

Problem 23

we know that

If two lines are perpendicular then the product of its slopes is equal to minus 1

so

m1*m2=-1

Find the slope of the line

we have

m1=-\frac{1}{3}

substitute in the equation and solve for m2

(-\frac{1}{3})*m2=-1

m2=3

with the slope m2 and the point (0,6) find the equation of the line

Remember that

The equation of the line in slope intercept form is equal to

y=mx+b

we have

m=3

b=6 -----> the given point is the y-intercept

substitute

y=3x+6

step 3

Problem 24

we know that

If two lines are parallel, then its slopes are the same

so

with the slope m1 and the point (0,-5) find the equation of the line

The equation of the line in slope intercept form is equal to

y=mx+b

we have

m=-\frac{1}{3}

b=-5 -----> the given point is the y-intercept

substitute

y=-\frac{1}{3}x-5

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