A line's slope is 5. The line passes through the point (5, 30). Find an equation for this line in both point-slope and slope-intercept form A) An equation for this line in point-slope form is:

B) An equation for this line in slope-intercept form is.​

A)

B)  

Step-by-step explanation:

A) We know the slope and a point the line intersects. This means we have enough information to write the equation in point-slope form, or . Substitute values for the , and .

represents the slope, thus substitute 5 in its place in the equation. and represent the x and y values of a point the line intersects, thus use the x and y values of (5,30). Substitute 5 for and 30 for . This will give the following equation in point-slope form and one of the answers:

B) Now, to find the equation of the line in slope-intercept form, or  format, isolate y in the point-slope form of the equation like below.

Thus, is the slope-intercept form of the equation.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.