Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form.
-The line passes through the point $( 2,13 )$ and has a slope of 4 .
A) $y = 4 x + 5$
B) $y = 4 x + 13$
C) $y = - 4 x + 13$
D) $y = 4 x + 2$

Question

Quizplus · Accepted Answer

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given a slope of 4 and a point (2, 13), we can substitute these values into the equation to find $b$: $13 = 4(2) + b$, which simplifies to $13 = 8 + b$, and solving for $b$ gives $b = 5$. Therefore, the equation of the line is $y = 4x + 5$.

Write an Equation of the Line Satisfying the Given Conditions (2,13)( 2,13 )(2,13)

Write an Equation of the Line Satisfying the Given Conditions $( 2,13 )$