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What is the y-intercept of a line that has a slope of –3 and passes through point (–5, 4)? –17 , –11 , 7 , 19

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Answer:

-11

Step-by-step explanation:

The y- intercept of a line that has a slope of -3 and passes through point (-5,4) is -11.

What is equation?

An equation is basically a relationship between two or more variables that is expressed in equal to form. It is used to calculate the values of variables.

Standard form of an equation is y=mx+c

How to find y-intercept?

We have been given a passing point of line and slope equal to (-5,4) and -3. We have to first form an equation from these which will be

y-y1=m(x-x1)

y-4=-3(x+5)

y-4=-3x-15

3x+y+11=0

y intercept is a point where line touches y axis so here value of x will be 0. so to find out the y-intercept we need to put the value of x in the equation and solve accordingly.

3(0)+y+11=0

y=-11

Hence the value of y-intercept of the line having slope -3 is -11.

Learn more about equations at https://brainly.com/question/2972832

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