Step-by-step explanation:
If it's a straight line the use formula
m= gradient of line
c = y-intercept
we know that y-intercept is 4 so coordinate is
(0,4)
Equation also passes (2,10)
Use both coordinate to find gradient
m= vertical distance / horizontal distance
= (10-4) / (2-0)
= 3
y = 3x + 4
Answer:
Part A) The slope is
Part B) The equation of the line is
Step-by-step explanation:
Part A) What is the slope of the graph?
we know that
The formula to calculate the slope between two points is equal to
Looking at the graph it takes any two points
(-2,0) and (0,-1)
substitute the values in the formula
Part B) Write an equation for the line
we know that
The equation of the line in slope intercept form is
where
m is the slope
b is the y-coordinate of the y-intercept
we have
----> the y-intercept is the point (0,-1)
substitute