Answer:
m = 2.4 and b = 14.8
Explanation:
In slope-intercept form, all equations follow the formula y = mx + b, in which equations are parallel as long as they have the same slope, represented by the variable m. All that the b variable does is change the y-intercept. Knowing this, in order to find a parallel equation to y = 2.4x + 5.2 that intercepts the point (-2, 10), the only variable that can change is the b variable. The first step is to plus -2 into the x variable. This will grant you y = 2.4(-2) or y = -4.8, which will then allow you to find what the b variable should be by subtracting -4.8 from 10. This will grant you b = 14.8, and since you know the slope must stay the same, the final answers are m = 2.4 and b = 14.8.