Question

Determine the slope, y-intercept, and equation of the linear function

Slope:
Y-intercept:
Equation:
-3 -2 -1
6
5
4
3
XY
1
6
H
0 1 2
2+
3
4
5 x
I

Answer 1

• slope: 2
• y-intercept: 3
• equation: y = 2x +3

Explanation:

You want the slope, y-intercept, and equation of the line that goes through points (0, 3) and (1, 5).

Slope

The slope of the line is the ratio of "rise" to "run". Look at the point on the y-axis, (0, 3), and the one to its right, (1, 5). You see that the one on the right is 2 grid squares higher (rise = +2) and 1 grid square right (run = +1) of the point on the y-axis.

The slope of the line is ...

m = rise/run = +2/+1

m = 2

Y-intercept

The y-intercept is where the line crosses the y-axis. The point at (0, 3) tells you the y-intercept is 3.

b = 3

Equation

The equation of the line in slope-intercept form is ...

y = mx +b

Using the above values for m and b, this is ...

y = 2x +3 . . . . . . equation of the line