Identify an equation in slope – intercept‘s form for the line parallel to y=5x+2 that passes through (-6,-1).

Slope-intercept form of a line is y=mx+b where m= slope and b=y-intercept.

First step is to compare this line with the given line y=5x+2 to get the value of m.

After comparing we will get m=5.

Now slope of all parallel lines are equal which means if slope of this line is 5 then slope of the line which is parallel to this line will also be 5.

Point- slope form of a line is:

Given the line passes through (-6,-1). So, plug in x1=-6, y1=-1 and m=5 in the above equation. So,

y-(-1)=5(x-(-6))

y+1=5(x+6)

y+1=5x+30

y=5x+30-1

y=5x+29.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.