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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 1/3; y intercept = -1

y = x/3 - 1

(b) if slope -2/5; y intercept = 0

y = -2x/5 + 0

y = -2x/5

(c) if slope= -1; y intercept= 4

y = -1x + 4

y = -x + 4

DᴀʀᴋPᴀʀᴀᴅᴏx

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

Here's the solution ~

Slope intercept form of an equation is :

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

where,

  • m = slope

  • c = y - intercept

Now, let's find the required equations ~

A.) Slope = 1/3 and y intercept = -1

[tex]\qquad \sf  \dashrightarrow \: y = \dfrac{1}{3} x - 1[/tex]

B.) Slope = -2/5 and y intercept = 0

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

C.) Slope = - 1 and y intercept = 4

[tex]\qquad \sf  \dashrightarrow \: y = - x + 4[/tex]

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