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.
Tap for more steps...
1
The first point is (0,1)
.
(0,1)
Choose 1
to substitute in for x
to find the ordered pair.
Tap for fewer steps...
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
A Point-Slope equation of a straight line has this form: y - y1 = m(x-x1)
We can recognize any points of the graph.
(0,80000) ; (10,50000)
Given:
<span>y -50,000 =______(x -10)
We need to find the slope.
Slope = Change in y / Change in x = 80,000 - 50,000 / 0 - 10 = 30,000 / -10 = -3,000
The slope is equal to -3000. Choice A.
</span><span>y -50,000 = -3,000(x -10)</span>
$57.50÷10=5.75 so that means for every 1 hour you get payed 5.75
There are three terms in alg exp