Luz drives at an average speed of 60 miles per hour. She has driven for 2 hours and has traveled a distance of 120 miles. This situation can be represented with a linear equation written in point-slope form, where x represents the number of hours and y represents the number of miles. Use this information to complete each statement about the linear equation.

Point-slope form is the general equation (y - y1) = m(x-x1), where 'm' represents the slope of the linear equation and (x1, y1) represents a point on the graph. The problem gives us two points on on the graph (1,60) and (2,120). It also states that the average speed is 60mi/hour, which would indicate our slope, or 'm'. Since 'x' is the number of hours and 'y' is the number of miles, then our points would be (1,60) and (2,120) and we can use either of these points to substitute in values of x1 and y1 into our point-slope form.

allayhorsford allayhorsford · Answer 2 · 2020-09-25T00:47:15+02:00

Answer:

Answer:

This situation can be represented in point-slope form as follows:

(y-120)=60(x-2).

Step-by-step explanation:

Point-slope form is the general equation (y - y1) = m(x-x1), where 'm' represents the slope of the linear equation and (x1, y1) represents a point on the graph. The problem gives us two points on on the graph (1,60) and (2,120). It also states that the average speed is 60mi/hour, which would indicate our slope, or 'm'. Since 'x' is the number of hours and 'y' is the number of miles, then our points would be (1,60) and (2,120) and we can use either of these points to substitute in values of x1 and y1 into our point-slope form.

Step-by-step explanation: