Write an equation of the line that passes through (3, 5) and is perpendicular to the graph of y = -3x + 7 write your final equation in slope-intercept form

y = x/3 + 4

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m represents the slope of the line.

c represents the y intercept.

The equation of the given line is

y = - 3x + 7

Comparing with the slope intercept form, slope = - 3

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line passing through (3, 5) is 1/3

To determine the y intercept, we would substitute m = 1/3, x = 3 and y = 5 into y = mx + c. It becomes

5 = 1/3 × 3 + c

5 = 1 + c

c = 5 - 1 = 4

The equation becomes

y = x/3 + 4

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: