Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
so, in our case, the slope is 2, the y-intercept is -3.
the y-intercept gives you the first point : (0, -3)
using the slope of 2 we know that for every unit x increases, y increases by 2.
so, you can pick a next point e.g. x = 2, which makes y = -3 + 2×2 = -3 + 4 = 1
that gives us (2, 1)
mark both points on the chart and then draw a straight line through both points.
The total amount Ali biked was over two years. To find that amount, you add the amount he biked each year. Since he biked 261 miles in one year and c miles in the other, the total amount of miles is 261 + c. That would be the expression used to describe the total number of miles.
What do the instructions say?
Hi there!
We are given a question that asks us to translate some given information into numerical format, or numbers. We can do that by first finding key words. Such words are sum and at least. Sum indicates addition, while at least indicates a greater than or equal to sign, or ≥. Now that we have found our key info, we can move on.
The question states that 3 times the sum of a number and 17. The 'sum of a number and 17' part can be represented by the expression x + 17, where x is some number. Next, three times means that we need to multiply 3 to the expression x + 17, giving us 3(x + 17). Finally, the question gives us that the whole expression 3(x + 17) is 'at least', or greater than or equal to, 22. Hence, we get the inequality 3(x + 17) ≥ 22, which is also our answer. Hope this has come of assistance to you and have a great day!
