Question

a line passes through the points (5, -7.5) and has a y intercept of 10. Which line has a rate of change that is less than this line's rate of change?

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

A line passes through the points (5, -7.5) and has a y-intercept 10 Which line has a rate of change that is less than this line's rate of change?

• y = 0.5X + 10

• y = - 1.5x + 10

• y = - 3.5x + 10

• y = - 10x - 3.5

EVALUATION

Here it is given that the line has y intercept of 10

Let the equation of the line is

y = mx + 10 - - - - - - - (1)

Where m is the slope of the line

Now the line given by Equation 1 passes through the point (5, -7.5)

Which gives

- 7.5 = 5m + 10

$\implies \sf{5m = - 17.5}$

$\implies \sf{m = - 3.5}$

Hence the required equation of the line is

$\sf{y = - 3.5m + 10}$

FINAL ANSWER

Hence the correct option is

$\boxed{ \: \: \sf{y = - 3.5m + 10} \: \: }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. find the ratio in which the straight line 2x+3y-20=0 divides the join of the point (2,3) and (2,10)

https://brainly.in/question/22172193

2. On a coordinate grid, the location of a bank is (–4, 8) and the location of a post office is (2, 0). The scale used is

https://brainly.in/question/23019403