Answer:
The equation is y= (-6/7)x - 10/7
Step-by-step explanation:
y=(slope)x + (y-intercept)
Usually I find the y-intercept first, but in the graph provided the y-intercept doesn't seem to be at exactly -1, instead i'd guess to be -1.1. But thats a guess so I cant do anything with that.
Instead lets start with slope, the slope formula is (y2-y1)/(x2-x1), as we are given the 2 points (-4,2) and (3,-4) we simply plug in those numbers to get the slope: (-4-2) / (3 - (-4) ) = -6/7 which is the slope. This number is negative which makes sense as the line is going down.
Now the equation is this:
y= (-6/7)x + b
To find the y-intercept we pick one of the two provided points (which one we pick doesn't matter), i'll pick the (-4,2). We plug that into the current equation: y= (-6/7)x - b -> 2= (-6/7)*-4 - b. And solve for b, the y intercept. We get the y-intercept to be -10/7. Which in decimal is -1.42 which is close to -1.1.
Resulting with the answer:
y= (-6/7)x - 10/7
