Answer:
Step-by-step explanation:
<u>Goal</u>
- Write the equation of a line with given coordinate points
<u>Given</u>
- Coordinate points which are (0,3) and (-4,11).
<u>Step</u><u> </u><u>1</u>
- Use the slope formula also known as rise over run to calculate the slope.
Substitute coordinate points in.
<u>Step</u><u> </u><u>2</u>
- Substitute the value of slope in the slope-intercept form.
where m = slope and b = y-intercept.
<u>Step</u><u> </u><u>3</u>
- Substitute any given coordinate points in the new equation to find the value of b.
<em>Substitute</em><em> </em><em>both</em><em> </em><em>coordinate</em><em> </em><em>points</em><em /><em> </em><em>still</em><em> </em><em>give</em><em> </em><em>the</em><em> </em><em>same</em><em> </em><em>solution</em><em>.</em><em> </em>
<u>Step</u><u> </u><u>3.1</u><u> </u><u>—</u><u> </u><u>(</u><u>0,3</u><u>)</u>
<u>Step</u><u> </u><u>3.2</u><u> </u><u>—</u><u> </u><u>(</u><u>-</u><u>4,11</u><u>)</u>
Therefore, the value of b is 3.
<u>Step</u><u> </u><u>4</u>
- Substitute the value of b in the equation.
Hence, the equation of a line is y = -2x+3.