Answer & Step-by-step explanation:
7. The slope-intercept form of a linear equation is y = mx+b where m is the slope and b is the y-intercept. Looking at the two equations, we can rearrange them to be
y = -8x+1
y = 8x+2
From this, we can see that the m, or slope, of the equations are -8 and 8 respectively. Thus, we can determine that the steepness of both equations are equal though one is pointed downwards and the other upwards.
8. We already know that m is the slope so if the function is increasing, the slope is going upwards, thus m must be larger than 0.
Next, we plug in (4,0) into the function to determine b.
f(x) = mx + b
0 = m(4) + b
Since we have determined that m is larger than 0 and thus a positive number, m*4 will be a positive number. The only way for m(4) + b to equal to 0 then is for b to be a negative number, smaller than 0.
