1 answer:
We know that in order to solve a math problem, we need an equation. Luckily there's an equation to find the slope and intercept of a (straight) line! Because of the equation: Y = mx + b You can use it to find the Y intercept, and then therefore slope (or the other way around)! First, look at the point where the line meets with the y axis. It's not clear, but it's 7. That's your 'Y intercept'. Easy! Then, to find the slope. There are a couple of ways to find it, but I'll show you the one using the y = mx + b equation. In the equation, 'b' represents the Y intercept. Since we already know our Y intercept on the graph is 7, we can plug that into the equation. Y = mx + 7 What's m? M is the slope of the line. In order to find this, we need more numbers to work with. Numbers from the line's coordinate points. Since coordinates in a graph have x and y, we can plug in any coordinate from the graph's line into our equation (y = mx +7). I choose...this point (points at random coordinate on line). (3, 10) aka (x, y) It's on the line, right? So it will be a reliable x and y. Put the numbers in... 10 = 3m + 7 This looks a bit easier, right? Now we solve for m (the slope)! Combine like terms. 10 - 7 = 3m Divide the 3. 3/3 = m m = 1. That's your slope! So, taking the solution, we can determine that the slope of the line is 1, and the intercept of the line is 7. Y = x + 7 Hope it helps! This is the most I can do for you :)
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