Question

4. Write an equation in slope-intercept form for the following linear relationship.the numbers are 1 122 153 184 21\NEED HELP ASAP DUE IN 1 HOUR

Answer 1

A linear equation can be written in several forms, such as the slope-intercept form and the point-slope form.

The equation in slope-intercept form is: $y = 31x +91$

How to write the equation in slope-intercept form

From the question, we have the following ordered pairs

(x,y) = (1,122) and (2,153)

Start by calculating the slope (m)

$m = \frac{y_2-y_1}{x_2 -x_1}$

So, we have:

$m = \frac{153 - 122}{2 -1}$

$m = 31$

The equation is then calculated as:

$y = m(x -x_1) + y_1$

This gives

$y = 31(x -1) + 122$

$y = 31x -31 + 122$

$y = 31x +91$

Hence, the equation in slope-intercept form is: $y = 31x +91$

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