Question

Please show your work and I will make you brainliest ​

Answer 1

Answer:

17. y=1/2x+5

18. y=-2x+15

19. y=2x-7

Step-by-step explanation:

Number 17.

(4,7); parallel to y=1/2x-1

You know that lines that are parallel to each other have the same slope, so the slope is 1/2x.

1. Use the point-slope formula to solve for the slope-intercept equation.

y-y1=m(x-x1)

m= 1/2

x= 4

y= 7

y-7= 1/2(x-4)

y-7= 1/2x-2

y=1/2x+5

Number 18.

(4,7); perpendicular to y=1/2x-1

You know that lines that are perpendicular to each other have the opposite reciprocal slope, so the slope is -2.

1. Use the point-slope formula to solve for the slope-intercept equation.

y-y1=m(x-x1)

m= -2

x= 4

y= 7

y-7=-2(x-4)

y-7=-2x+8

y=-2x+15

Number 19.

f(3)=-1

f(4)=1

To write a linear equation, first find the slope with the slope formula.

x1= 3

y1= -1

x2= 4

y2=1

(y2-y1)/(x2-x1)

(1-(-1))/(4-3)

2/1

m=2

Use the point-slope formula and solve for the slope-intercept equation.

y-y1=m(x-x1)

y-1=2(x-4)

y-1=2x-8

y=2x-7