The slope-intercept form of a linear equation is [tex]y=mx+c[/tex]
You have a table showing x-values and the corresponding y-values. You can think about it as "when x = 0, y = -2 and when x = 1, y = 5..." and so on. What you need to do is find an equation that will tell you the y-value for any x-value you put in to it. Because it says slope-intercept form we know it will look like [tex]y=mx+c[/tex] where m and c are numbers you need to work out.
c is the easiest one to work out, c is the y-value when x = 0. You know from the table that this is -2 hence [tex]c=-2[/tex] so now we just need to work out m and then we have our equation.
We know [tex]y=mx-2[/tex] and we know when x = 1, y = 5 so by putting these numbers into the equation [tex]5=(m \times 1) - 2[/tex] so [tex]m=7[/tex]. By putting it all together you get [tex]y=7x-2[/tex] and from this you can work out any y-value by putting in the x-value.
