Question

Write the equation of this linear relationship in slope intercept form, use decimals in your answer!! Please help

Answer 1

Answer:

$y = 0.35x + 1.5$

Step-by-step explanation:

To write an equation to represent the linear relationship in slope-intercept form, as $y = mx + b$, we need to determine the slope (m) and the y-intercept (b).

Find slope (m) using of the line that passes through (0, 1.5) and (100, 36.5):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{36.5 - 1.5}{100 - 0} = \frac{35}{100} = 0.35$

The y-intercept (b) is the value of y when x = 0. It is the point where the y-axis is intercepted. Form the table, we see that y = 1.5 when x = 0. Therefore,

y-intercept (b) = 1.5

Substitute m = 0.35, and b = 1.5 into $y = mx + b$, to get the equation.

The equation would be:

✅$y = 0.35x + 1.5$