Question

Match the slope and y-intercept with the correct linear equation.

m = 3, b = 5


m = 23, b = -25


m = -2, b = 3
1.
y=3x + 5
2.
y = −2x + 3
3.
y=23x − 25

Answer 1

For
`m=3` and
`b=5`

The slope-intercept formula is

`y=mx+b`

Replacing given values, we have

`y=3x+5`

So, the answer to the first case is 1.

For
`m=23` and
`b=-25`

We apply the same process as we did in the first case.

`y=mx+b\\y=23x-25`

Therefore, the right answer here is 3.

For
`m=-2` and
`b=3`

`y=mx+b\\y=-2x+3`

Therefore, the right answer is 2.

Answer 2

Correct matching order is 1, 3, and 2 as shown below:

(a) m = 3 and b = 5 1. y = 3x + 5

(b) m = 23 and b = -25 3. y = 23x - 25

(c) m = -2 and b = 3 2. y = -2x + 3

Explanation:

Equation of slope intercept form:

y = mx + b where m is slope and b is the y-intercept.

Case 1: if m = 3 and b = 5

Equation of line in slope-intercept is:

y = 3x + 5

Case 2: If m = 23 and b = -25

Equation of line in slope-intercept is:

y = 23x - 25

Case 3: if m = -2 and b = 3

Equation of line in slope-intercept is:

y = -2x + 3

Correct matching sequence is:

(a) m = 3 and b = 5 1. y = 3x + 5

(b) m = 23 and b = -25 3. y = 23x - 25

(c) m = -2 and b = 3 2. y = -2x + 3