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]