Give the slope and the​ y-intercept of the line with the given equation. ​ Then, graph the linear equation.

Question

y = 3x + 5. What is the slope? Select the correct answer choice below and fill in any answer choices within your choice.

A. The slope is

(Simplify your answer)

B. The slope is undefined.

Answer 1

when the equation is solved for y, then the slope is the coefficient of the x term and the y intercept is the constant term.

y= 3x +5 has slope =3 and y intercept = 5

y=mx +b is the slope intercept form of a linear equation where m= slope and b = the y intercept

with

y=3x +5, 3=m and 5= b

plot the point (0,5), that's the y intercept. draw a fairly steep upward sloping line through that point. You could find another point on the line, such as (1,8) and connect those two points with a straight line. That's the graph of the equation. Put arrows at the end of the line segment to show it extends forever in each direction.

the x intercept is when y=0 = 3x+5 or x =-5/3 plot that point (-5/3,0) and connect it with the y intercept with a straight line. That's the graph of the equation, extending the line in both directions, forever.

Answer 2

Slope is 3 and Y-intercept is 5