Answer:
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.
Answer:
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
