Answer:
y=(7/5)x + 34/5
Step-by-step explanation:
All straight lines generally follow the equation format of: y=mx+c
Where m is the slope/gradient of the line, and c is a constant, the y-intercept, the y value when x=0.
To start, we need to find the slope, which we do by dividing the rise of the line by the run, that is the difference between the y value of two points divided by the different between the x value of two points.
We can use the two given points on the graph: (-7,-3) and (-2,4).
The rise is 7 because 4-(-3)=7, and the run is 5 because -2-(-7)=5.
Therefore the slope is 7/5.
so our equation so far is:
y=(7/5)x + c, (It is positive because the line is 'going upwards'.)
Now to find the c, we can just substitute in a pair of coordinates, we can use (-2,4):
4= (7/5)(-2) + c
4 = -14/5 + c
4 + 14/5 = c
c= 34/5
Therefore our full equation is:
y=(7/5)x + 34/5
Hope this helped!
