coordinates

Question

2,5
1,3
0,1
-1,-1
-2,-3
nalyze the graph and write a linear function in slope-intercept form.

(1 point)
y=
x+

Answer 1

To find a linear function in slope-intercept form, we need to find the equation of a straight line that passes through two points on the graph.

Let's choose the first two points (2,5) and (1,3):

Slope (m) = (change in y) / (change in x) = (5 - 3) / (2 - 1) = 2/1 = 2

Using the point-slope form, y - y1 = m(x - x1), we can choose either of the two points. Let's use (1,3):

y - 3 = 2(x - 1)
y - 3 = 2x - 2

To convert it into slope-intercept form, we isolate y:

y = 2x - 2 + 3
y = 2x + 1

Therefore, the linear function in slope-intercept form is y = 2x + 1.