y=-38x+3
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=-38
b=3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -38
y-intercept: 3
Slope: -38
y-intercept: 3
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)8+3
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 8.
Factor 8 out of 3(0).
f(0)=-8(3⋅(0))8+3
Cancel the common factors.
Factor 8 out of 8.
f(0)=-8(3⋅(0))8(1)+3
Cancel the common factor.
f(0)=-8(3⋅(0))8⋅1+3
Rewrite the expression.
f(0)=-3⋅(0)1+3
Divide 3⋅(0) by 1.
f(0)=-(3⋅(0))+3
f(0)=-(3⋅(0))+3
f(0)=-(3⋅(0))+3
Multiply 3 by 0.
f(0)=-0+3
Multiply -1 by 0.
f(0)=0+3
f(0)=0+3
Add 0 and 3.
f(0)=3
The final answer is 3.
3
3
The y value at x=0 is 3.
y=3
y=3
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=-3(1)8+3
Simplify the result.
Multiply 3 by 1.
f(1)=-38+3
To write 3 as a fraction with a common denominator, multiply by 88.
f(1)=-38+3⋅88
Combine 3 and 88.
f(1)=-38+3⋅88
Combine the numerators over the common denominator.
f(1)=-3+3⋅88
Simplify the numerator.
Multiply 3 by 8.
f(1)=-3+248
Add -3 and 24.
f(1)=218
f(1)=218
The final answer is 218.
218
218
The y value at x=1 is 218.
y=218
y=218
Create a table of the x and y values.
xy031218
xy031218
Graph the line using the slope and the y-intercept, or the points.
Slope: -38
y-intercept: 3
xy031218
Graph y=-3/8x+3
