Write an equation for the graph shown in the form y=ax+b.

I know I have to use the y=mx+b equation but I don't know how

coolkidslovemath1982 Oct 30, 2022

#1**0 **

m is the slope of the line. That's the distance it goes vertically divided by the distance it goes horizontally.

In this case, using known points, the vertical distance is (+2) – (0) = +2

In this case, using known points, the horizontal distance is (+5) – (–5) = +10

So the slope, which is conventionally called "m" is 0**.**2

b is the y-intercept of the line. That the point where the line crosses the y-axis.

Looking at the graph, it appears that the y-intercept is at (0,1)

So the y-intercept, which is conventionally called "b" is 1.

Plugging the values into y = mx + b, we find the equation to be **y = 0.2x + 1** tentatively

Sometimes it isn't as straightforward, so plug in those two known values of x to see if it works.

When x = –5, does y = 0**.**2x + 1 equal 0 ? (0**.**2 • –5) + 1 = (–1) + (+1) = 0 so yes

When x = +5, does y = 0**.**2x + 1 equal 2 ? (0**.**2 • +5) + 1 = (+1) + (+1) = 2 so yes

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Guest Oct 30, 2022

#2**0 **

So how could I do it if I was given a equation to graph?

or when its asking write a equation that intersects with this point?

coolkidslovemath1982 Oct 30, 2022