Question

Slope = -3; y-intercept = 2

Slope = -1; y intercept = 8



Slope = 1/4; y-intercept= 0



Slope= -5/2; y-intercept=-3



Please give me the equations for these problems

Answer 1

`\qquad \qquad\huge \underline{\boxed{\sf Answer}}`

Let's solve ~

The equation of line in slope - intercept form is :

`\qquad \sf  \dashrightarrow \: y = mx + c`

where,

• m is slope

• c is y - intercept

Now, use these values in the equation to find their respective equations ~

Question 1

Slope = -3 and y-intercept = 2

`\qquad \sf  \dashrightarrow \: y = - 3x + 2`

Question 2

Slope = -1 and y intercept = 8

`\qquad \sf  \dashrightarrow \: y = - x +8`

Question 3

Slope = 1/4 and y-intercept = 0

`\qquad \sf  \dashrightarrow \: y = (x)/(4)`

Question 4

Slope= -5/2 and y-intercept = -3

`\qquad \sf  \dashrightarrow \: y = - ( 5)/(2) x - 3`

Answer 2

Given Below

Explanation:

using the formula :

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

(a) if Slope = -3; y-intercept = 2

y = -3x + 2

(b) if Slope = -1; y intercept = 8

y = -1x + 8

y = -x + 8

(c) if Slope = 1/4; y-intercept= 0

y = x/4 + 0

y = x/4

4y = x

(d) if Slope= -5/2; y-intercept= -3

y = -5x/2 - 3

y = (-5x - 6 )/3

2y = -5x - 6