Question

1 multiple choice 4 points which is an equation of the line that passes through the point (1,4) and has a slope of 3? y = 3x + 1 y = 3x + 4 y = (1/3)x + 4 y = 3x - 1

Explanation:

Step1: Use point-slope form

The point-slope formula is $y - y_1 = m(x - x_1)$, where $(x_1,y_1)=(1,4)$ and $m=3$.
Substitute values: $y - 4 = 3(x - 1)$

Step2: Simplify to slope-intercept form

Expand and isolate $y$:
$y - 4 = 3x - 3$
$y = 3x - 3 + 4$
$y = 3x + 1$

Step3: Verify with given point

Substitute $x=1$ into $y=3x+1$:
$y=3(1)+1=4$, which matches the point $(1,4)$.

Answer:

A. $y = 3x + 1$