Q31. - Algebra 2

Question

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

31. Slope 4, passes through $(0,6)$

Step-by-Step Solution

Answer

Slope-intercept form is $y=4x+6$

Step-1 – Slope intercept form.

The slope intercept form of a straight line is $y=mx+c$.

Where m is the slope of the line and c is the y-intercept.

Step-2 – Determine the slope and y -intercept.

It is given that the slope of the line is 4.

It means $m=4$

Also, the given coordinate is $(0,6)$.

We know that at y-intercept the value of x is 0.

It means $(0,6)$ represents the y-intercept or we can say $c=6$.

Step-3 – Substitute 6 for c and 4 for m into the slope intercept form.

$y=4x+6$

Hence, the slope-intercept form is $y=4x+6$.