Question

M=1/4,b=1 Graph the given slope m and y-intercept b.

Answer 1

We can draw a graph of y = 1/4x +1

Explanation:

In the given question we have to graph a line with a slope of m and y- intercept b.

Equation of the line will be y = mx + b

By putting m = 1/4 and b = 1 the equation will be y = 1/4x + 1

Now we will get the point on the graph by putting x = -4, -2, 0, 2, 4

We will get the values on y axis y = 0, .5, 1, 1.5, 2

Now we can plot the graph with these coordinates.

(-4, 0), (-2, .5), (0, 1), (2, 1.5), (4, 2)

Answer 2

the graph in the attached figure

Explanation:

we know that

the equation of the line into slope intercept form is equal to

y=mx+b

In this problem we have

m=1/4

b=1

substitute

y=(1/4)x+1

Find the x-intercept

the x-intercept is the value of x when the value of y is equal to zero

For y=0

0=(1/4)x+1

(1/4)x=-1

x=-4

The intercepts of the line are (-4,0) and (1,0)

Plot the intercepts

using a graphing tool

see the attached figure