Question

Y=3[x]+1 Step by step

Answer 1

y=3x+1

Use the slope-intercept form to find the slope and y-intercept

The slope-intercept form is y=mx+b

, where m is the slope and b

is the y-intercept.

y=mx+b

Find the values of m

and b using the form y=mx+b

.

m=3

b=1

The slope of the line is the value of m

, and the y-intercept is the value of b

.

Slope: 3

Y-Intercept: 1

Any line can be graphed using two points. Select two x

values, and plug them into the equation to find the corresponding y

values.

Choose 0

to substitute in for x

to find the ordered pair.

Replace the variable x

with 0

in the expression.

f(0)=3(0)+1

Simplify the result.

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1

The first point is (0,1)

.

(0,1)

Choose 1

to substitute in for x

to find the ordered pair.

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Replace the variable x

with 1

in the expression.

f(1)=3(1)+1

Simplify the result.

Multiply 3

by 1

.

f(1)=3+1

Add 3

and 1

.

f(1)=4

The final answer is 4

.

4

The second point is (1,4)

.

(1,4)

Create a table of the x

and y

values.

xy0114

Graph the line using the slope and the y-intercept, or the points.

Slope: 3

Y-Intercept: 1

xy0114