Write an equation of a line that is parallel to y=5x+3 with a y intercept -2

y = 5x - 2

Step-by-step explanation:

This is coordinate geometry, and from the principle of parallelism, for two lines to be parallel to each other, m1 = m2.

Now from the quest above

y = 5x + 3 with the y intercept of the other line to be -2

From the equation if a straight line,

y = mx + c where m is the slope so gradient and c is the y intercept.

Since the two lines are parallel to each other , it means that m1 = m2

So m1 = 5 and m2 = 5, the equation of the second line will be

y = 5x - 2

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116