Question

Determine the slope and y -intercept for each line shown. Then write the equation of the line (will give Brainliest)

Answer 1

Answer:

1.

$y=\frac{1}{4}x+2$

m= $\frac{1}{4}$

b= 2

2.

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

m= $-\frac{1}{3}$

b= 1

3.

$y=3x+4$

m= 3

b=4

Step-by-step explanation:

1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.

The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=\frac{1}{4}x+2$

2. The line intersects the y-axis at the point (0,1) therefore its y-intercept is b=1.

The line down up 1 unit on the y-axis for every 3 units on the x-axis therefore the line has a slope of m= -1/3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that    $y=-\frac{1}{3}x+1$

3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.

The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that  $y=3x+4$