does the point (1, 4) satisfy y = 4x
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given:
Point ( 1, 4 )
x1 = 1
y1 = 4
Determine if it satisfies y = 4x
Solution:
To do so we need to equate in point-slope form then slope-intercept form.
Point-slope form:
y - y1 = m ( x - x1 )
Slope-intercept form:
y = mx + b
Formula for the slope:
m = y/x
m = 4/1
m = 4
Equate the values in point-slope form.
y - 4 = 4 (x - 1)
y - 4 = 4x - 4
Transpose -4 on the other side of the equation, hence it must be taken to note that in transposing numbers, the sign changes.
y = 4x - 4 + 4
y = 4x
Final Answer:
The point satisfies the equation y = 4x.