QUESTION IMAGE
Question
question 4
what is an equation of the line in point slope form that passes through the points shown in the table?
| x | y |
| 4 | 84 |
| 9 | 60 |
y - □ = □(□ - 8)
Step1: Calculate the slope
First, identify the two points: $(x_1,y_1)=(3,60)$ and $(x_2,y_2)=(4,84)$. Use the slope formula:
$$m=\frac{y_2-y_1}{x_2-x_1}=\frac{84-60}{4-3}=\frac{24}{1}=24$$
Step2: Apply point-slope form
Point-slope form is $y - y_1 = m(x - x_1)$. Use the point $(3,60)$:
$$y - 60 = 24(x - 3)$$
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$y - 60 = 24(x - 3)$