# S-I Form

HS Math

Created on September 18, 2024

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## Transcript

Objectives: - Write a linear function in slope-intercept form given a graph. - Write a linear function in slope-intercept form given two points. - Graph a line from a function in slope-intercept form.

Slope-Intercept Form

##### y ($ in account)$25$22.50$20$17.50

##### x (#days)0123

##### A student's lunch account containing $25 is charged $2.50 each day.

Slope-Intercept Form

##### A student's lunch account containing $25 is charged $2.50 each day.Write an equation that represents this scenario!

Slope-Intercept Form

##### y = 25 - 2.50xy = -2.5x + 25This is slope-intercept form!y = mx + bm is the slopeb is the y-intercept (0, b)

Slope-Intercept Form

Now write it in function notation!

y = mx + b

Write the slope-intercept equation for the graph to the right.

Now write it in function notation!

y = mx + b

Write the slope-intercept equation for the graph to the right.

ZOOM POLL

y = mx + b

Write the slope-intercept equation for the graph to the right.

Graph the line:

Graph the line:f(x) = -5x - 1

Write the slope-intercept function for the line that passes through the points (1, 8) and (3, -4).

Step 1: Use the slope formula to find m.Step 2: Substitute an ordered pair and m into y=mx+bStep 3: Solve for b.Step 4: Use m and b to write the function f(x) = mx + b

Write the slope-intercept equation given two points!

Write the slope-intercept function for the line that passes through the points (-2, 5) and (4, 16).

Step 1: Use the slope formula to find m.Step 2: Substitute an ordered pair and m into y=mx+bStep 3: Solve for b.Step 4: Use m and b to write the function f(x) = mx + b

Write the slope-intercept equation given two points!

ZOOM POLL!

Write the slope-intercept function for the line that passes through the points (-2, 0) and (1, 9).

Step 1: Use the slope formula to find m.Step 2: Substitute an ordered pair and m into y=mx+bStep 3: Solve for b.Step 4: Use m and b to write the function f(x) = mx + b

Write the slope-intercept equation given two points!

Terrell is at the gym again. There is a monthly membership fee plus a charge for each additional class. In July, he took 10 classes and paid $80. In August, he took 12 classes and paid $90.Write a function T for the total cost of (c) number of classes.

Real World App

Objectives: - Write a linear function in slope-intercept form given a graph. - Write a linear function in slope-intercept form given two points. - Graph a line from a function in slope-intercept form.

Slope-Intercept Form

CFU in edio!