1. For a linear equation$y=b_0+b_1{x}_{}$Identify the

a. independent variable.

b. dependent variable.

c. slope.

d. y-intercept.

Given in the question that, We need to identify the independent variable for a linear equation $y=b_0+b_1{x}_{}$.

$y=b_0+b_{1}x$is an equation.

Consider the formula $y=b_0+b_{1}x$.

No other variable influences the independent variable.

$x$is thus an independent variable.

Given in the question that, We need to identify the dependent variable for a linear equation $y=b_0+b_{1}x$.

$y=b_0+b_{1}x$is an equation.

Consider the formula $y=b_0+b_{1}x$

Any other variable influences the dependent variable.

The variable y is dependent on the variable $\mathrm{x}$, as shown in the previous equation.

$y$is thus a dependent variable.

Given in the question that, We need to identify the slope for a linear equation $y=b_0+b_{1}x$.

The formula$y=b_0+b_{1}x$

Calculation:

Consider the formula $y=b_0+b_{1}x$.

Consider the following equation:$y=mx+c$

$m=b_1$As a result, slope $=b_1$.

Given in the question that, We need to identify the y-intercept for a linear equation $y=b_0+b_{1}x$

$y=b_0+b_{1}x$is an equation.

Consider the formula $y=b_0+b_{1}x$.

When the $x$coordinate is equal to zero, the $y$intercept of the above equation is produced.

$y=b_0+b_1\left(0\right)$

$y=b_0$

Hence,

$y\text{- intercept}=b_0$