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

Respuesta :

Answer:

Given Below

Step-by-step 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

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Let's solve ~

The equation of line in slope - intercept form is :

[tex]\qquad \sf  \dashrightarrow \: y = mx + c[/tex]

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

[tex]\qquad \sf  \dashrightarrow \: y = - 3x + 2[/tex]

Question 2

Slope = -1 and y intercept = 8

[tex]\qquad \sf  \dashrightarrow \: y = - x +8 [/tex]

Question 3

Slope = 1/4 and y-intercept = 0

[tex]\qquad \sf  \dashrightarrow \: y = \dfrac{x}{4} [/tex]

Question 4

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

[tex]\qquad \sf  \dashrightarrow \: y = - \dfrac{ 5}{2} x - 3[/tex]