Answer:
0. m=5 and b=-6.
,1. m=-12 and b=5.
,2. m= -5/2 and b=5
,3. m=1 and b=0
Explanation:
The slope-intercept form of the equation of a line is given as:
[tex]\begin{gathered} y=mx+b \\ \text{Slope}=m \\ y-\text{intercept}=b \end{gathered}[/tex]Question 1
[tex]y=5x-6[/tex]Comparing with the form given above:
• m=5 and b=-6.
Question 2
[tex]\begin{gathered} 5-12x=y \\ \implies y=-12x+5 \end{gathered}[/tex]Comparing with the form given above:
• m=-12 and b=5.
Question 3
[tex]\begin{gathered} 5x+2y=10 \\ \implies2y=-5x+10 \\ \implies y=-\frac{5}{2}x+\frac{10}{2} \\ \implies y=-\frac{5}{2}x+5 \end{gathered}[/tex]Therefore:
• m= -5/2
,• b=5
Question 4
[tex]y=x[/tex]• The coefficient of x, m=1
,• b=0