Geoff says that changing the value of m while leaving b unchanged in f(x)=mx+b has no impact on th intercepts of the graphs. marcus disagrees with this statement. who is correct? explain your reasoning.

Marcus is correct, changing the value of m and leaving b unchanged has impact in the x-intercept.

Step-by-step explanation:

The linear equation is

f(x) = m*x + b

now, m is the slope and b is the y-intercept, so if we cahenge m, b remains unchanged, so the y-intercept does not change.

now, the x-intercept is when f(x) = 0 = m*x + b

so the x-intercept is = -b/m

We can see that the x-intercept depends inversilt with m, so chaging m will change the x-intercept.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x