What is an equation of a line that is perpendicular to the line whoseequation is 2y = 3x - 10 and passes through (6,1)?

y = - 2x/3 + 5

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

2y = 3x - 10

Dividing through by 2, it becomes

y = 3x/2 - 5

Comparing with the slope intercept form, slope = 3/2

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 (6, 1) is - 2/3

To determine the intercept, we would substitute m = - 2/3, x = 6 and y = 1 into y = mx + c. It becomes

1 = - 2/3 × 6 + c

1 = - 4 + c

c = 1 + 4 = 5

The equation becomes

y = - 2x/3 + 5

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation:

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation: