9514 1404 393
Answer:
y = 3x +5
Step-by-step explanation:
The given form of the equation for a line is "slope-intercept" form. In order to use it, you need to know the slope of the line, and its y-intercept.
The y-intercept is where the line meets the y-axis. Here, that is halfway between 4 and 6, so we estimate the value to be b = 5.
The slope is the rise divided by the run. For x=1, the line has a point at (1, 8). That is 3 units above and 1 unit right of the point on the y-axis. Then the slope is ...
m = rise/run = 3/1 = 3
For a slope of 3 and a y-intercept of 5, the equation of the line is ...
y = mx +b . . . . . . slope m, y-intercept b
y = 3x +5
