Graph y=-5x+1

Problem

y=−5*x+1

Solution

1. Identify the equation as a linear function in slope-intercept form, which is y=m*x+b

2. Determine the y-intercept by looking at the constant term b=1 which corresponds to the point (0,1)

3. Determine the slope m=−5 which represents the "rise over run." This means for every 1 unit moved to the right, the graph moves 5 units down.

4. Calculate a second point by starting at (0,1) and applying the slope: 0 + 1 = 1ƒ*o*r*t*h*e*x−c*o*o*r*d(i)*n*a*t*e*a*n*d - 5 = -4ƒ*o*r*t*h*e*y−c*o*o*r*d(i)*n*a*t*e,r*e*s(u)*l*t*i*n*g*i*n*t*h*e*p*o*i*n*t1, -4)$.

5. Plot the points (0,1) and (1,−4) on a coordinate plane and draw a straight line through them to represent the function.

Final Answer

y=−5*x+1

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