# Graph y=-6/5x-3 y=-65x-3
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=-65
b=-3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -65
y-intercept: -3
Slope: -65
y-intercept: -3
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)=-6(0)5-3
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 5.
Factor 5 out of 6(0).
f(0)=-5(6⋅(0))5-3
Cancel the common factors.
Factor 5 out of 5.
f(0)=-5(6⋅(0))5(1)-3
Cancel the common factor.
f(0)=-5(6⋅(0))5⋅1-3
Rewrite the expression.
f(0)=-6⋅(0)1-3
Divide 6⋅(0) by 1.
f(0)=-(6⋅(0))-3
f(0)=-(6⋅(0))-3
f(0)=-(6⋅(0))-3
Multiply 6 by 0.
f(0)=-0-3
Multiply -1 by 0.
f(0)=0-3
f(0)=0-3
Subtract 3 from 0.
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)=-6(1)5-3
Simplify the result.
Multiply 6 by 1.
f(1)=-65-3
To write -3 as a fraction with a common denominator, multiply by 55.
f(1)=-65-3⋅55
Combine -3 and 55.
f(1)=-65+-3⋅55
Combine the numerators over the common denominator.
f(1)=-6-3⋅55
Simplify the numerator.
Multiply -3 by 5.
f(1)=-6-155
Subtract 15 from -6.
f(1)=-215
f(1)=-215
Move the negative in front of the fraction.
f(1)=-215
The final answer is -215.
-215
-215
The y value at x=1 is -215.
y=-215
y=-215
Create a table of the x and y values.
xy0-31-215
xy0-31-215
Graph the line using the slope and the y-intercept, or the points.
Slope: -65
y-intercept: -3
xy0-31-215
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