For what value of “a”are the graphs of 5y = -2x + 10 and 3y = aX- 15 parallel

a = -6/5

Step-by-step explanation:

For the graphs to be parallel the graphs should have same slope(m)

So we rewrite both our equations in the slope-intercept form then compare the slope to find the value of a like this,

This equation is the slope-intercept form we convert both our equations in this form firstly taking equation 1

so if we compare it with y = mx + b the coefficient of x is m and hence

m= -2/5 now solving for equation 2

so here if we compare it with y = mx + b the coeffienct of x is a/3 so since parallel lines have same slope by the formula:

we equation both the slope to each other to find the value of a like this,

so the value of a equals

a= -6/5

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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