A positive value has the slope going up to the right. A negative slope goes down to the right. The b variable is the y intercept - the point where the line crosses the y axis.
Let's quickly review the steps for writing an equation given two points: Find the slope using the slope formula. Write the equation using the slope and y-intercept.
Ok, now let's apply this skill to solve real world problems. Now you will have to read through the problem and determine which information gives you two points. Remember a point is two numbers that are related in some way. Also remember, that when identifying a point from a word problem, "time" is always the x-coordinate.
In the first year, there were 35 participants. In the third year there were 57 participants.
Write an equation that can be used to predict the amount of participants, y, for any given year, x. Based on your equation, how many participants are predicted for the fifth year? Identify your two points. This can be written as 1,35 In the third year, there were 57 participants.
This can be written as 3, Therefore, our two points are 1,35 and 3,57 Let's enter this information into our chart.
Now that we have an equation, we can use this equation to determine how many participants are predicted for the 5th year. All we need to do is substitute!
We will substitute 5 for x x is the year and solve for y.©d 82P0k1 f2 T 1K lu9t qap 2S ho KfZtgw HaTrte I BL gLiCQ.e R xA NlOlh JrKi0gMh6t8sq YrCenshe Rr8vqeed Y JMGapdQeX TwGiRt VhW 8I 2n fDiPn 8iDtEep QAVlVgue3bjr vaV Y Any straight line on the coordinate plane can be described by various equations.
Among them is the point-slope form, so called because the givens are a point somewhere on the line, and the slope of the line.
The equation looks like. The slope-intercept form of a line is written as = = + where m is the slope and b is the y-intercept. This is a function of only x and it would be useful to make this equation written as a function of both x and y.
Then the point at which the line crosses the y axis has in y. Change in x. An equation of the line with slope m and y intercept (0, b) is y mx b NOTE In this form, the Deﬁnitions: The Slope-Intercept Form for a Line equation is solved for y.
The Writing the Equation of a Line Write the equation of a line with slope and y intercept (0. When you're learning about linear equations, you're bound to run into the point-slope form of a line.
This form is quite useful in creating an equation of a line if you're given the slope and a point on the line. Write an equation in point-slope form for this line.
f) Re-write your equation from part e in standard form. g) Re-write your equation from part e in slope-intercept form.
Write the Equation of the Line – Review Answers: 1.
a) One way is to just count on the coordinate plane. The rise is 2 and the run is 1, so the slope.