Answer: [tex]y-intercept(s): (0,5)[/tex]
[tex]Slope: m=2[/tex]
Step-by-step explanation:
To find the y-intercept, substitute in [tex]0[/tex] for [tex]x[/tex] and solve for [tex]y[/tex].
Use the slope-intercept form [tex]y=mx+b[/tex] to find the slope [tex]m[/tex].
[tex]m=2[/tex]
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[tex]\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the slope and y-intercept of the line [tex]\bold{y=2x+5}[/tex]?
[tex]\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}[/tex]
Here's a shortcut to find the slope and y-intercept of any line (if it's equation is written like the one above, y=2x+5).
[tex]\texttt{If the equation of the line is in y=mx+b form}[/tex], the slope of the line is the number multiplied by x, and the y-intercept is a positive or negative constant next to the slope.
Let's look at the equation [tex]\texttt{y=2x+5}[/tex].
What number is multiplied by x?
2 is the number multiplied by x, so we conclude that 2 is the slope.
5 is the constant (in this case, it's positive), so we conclude that 5 is the y-intercept.
So the slope is:-
[tex]\bigcirc\!\!\!\!\!\!\Large\checkmark[/tex] 2
The y-intercept is:-
[tex]\bigcirc\!\!\!\!\!\Large\checkmark[/tex] 5
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