## 4) Write the equation of the line passing through (-5, 6 ) and has slope equal to 4.

Question

4) Write the equation of the line passing
through (-5, 6 ) and has slope equal to 4.

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6 months 2021-08-07T13:07:25+00:00 2 Answers 3 views 0

The equation of the line passing through (-5, 6) with a slope of 4 is

y = 4x + 26

Step-by-step explanation:

An equation of a line would always have the following structure…

y = mx + b

In this equation, “y” is the y coordinate of the point, “x” is the x coordinate of the point, “m” is the slope, and “b” is the y coordinate of the y-intercept. We know all the values except “b”, but we can find the value of “b” by substituting all the other values into the equation…

y = mx + b

6 = 4(-5) + b

6 = b – 20

b = 6 + 20

b = 26

Therefore, the equation of the line passing through (-5, 6) with a slope of 4 is y = 4x + 26

y = 4x + 26

Step-by-step explanation:

y = mx + b

The slope (m) is equal to 4.

y = 4x + b

To find the y-intercept (b), plug in the point given.

6 = 4(-5) + b

6 = -20 + b

26 = b

The answer is y = 4x + 26.