Q56. - Algebra 2

Question

Write an equation in slope-intercept form that satisfies each set of conditions.

Slope 3, passes through $(-2,4).$

Step-by-Step Solution

Answer

The equation in slope-intercept form is $y=3x+10.$

Step-1 –Point slope equation of a line.

The point slope form of a straight line in geometry is used to represent the equation of a straight line using its slope ‘m’ and a point $(x,y)$ that lies on the line$(x,y)$.

Step-2 – Determine the given value.

 The line passes through $(-2,4)$ and have slope 3.

Thus, $(x,y)=(-2,4)$ and $m=3$.

Step-3 – Determine the equation

$\begin{array}{l}y=mx+b\\ 4=3(-2)+b\\ 4=-6+b\\ b=10\end{array}$

The equation in slope-intercept form is $y=3x+10.$