Answer:
[tex] y = 4x + 32 [/tex].
Step-by-step explanation:
Here's a solution to the problem.
Given:
Point = (-5, 12)
Slope (m) = 4
Required:
Equation of the line
SOLUTION:
Recall, the equation for slope-intercept form is [tex] y = mx + b [/tex].
We are given slope (m) as 4. We need to find the value of b to derive an equation of the line.
Simply substitute x = -5, y = 12 and m = 4 into [tex] y = mx + b [/tex], and solve for b.
[tex] 12 = 4(-5) + b [/tex]
[tex] 12 = -20 + b [/tex]
Add 20 to both sides
[tex] 12 + 20 = b [/tex]
[tex] 32 = b [/tex]
[tex] b = 32 [/tex]
Next, substitute m = 4 and b = 32 into [tex] y = mx + b [/tex].
[tex] y = 4x + 32 [/tex].
The line of the equation that has a slope of 4, and passes through (-5, 12) is [tex] y = 4x + 32 [/tex].
Obviously, your calculations are wrong. The above is the right way to solve the problem given.
