QuestionFebruary 2, 2026

A line is graphed on the coordinate grid. What are the slope and the equation of this line?

A line is graphed on the coordinate grid. What are the slope and the equation of this line?
A line is graphed on the coordinate grid.
What are the slope and the equation of this line?

Solution
4.6(180 votes)

Answer

The slope is m and the equation is y = mx + b, where m is the calculated slope and b is the y-intercept. Explanation 1. Identify the Slope The slope of a line is determined by the change in y over the change in x. If the line is graphed, identify two points on the line and use the formula m = \frac{y_2 - y_1}{x_2 - x_1} to calculate the slope. 2. Determine the Equation of the Line Use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept. Substitute the slope from Step 1 and a point on the line to solve for b. 3. Write the Equation With the slope and y-intercept determined, write the equation in the form y = mx + b.

Explanation

1. Identify the Slope<br /> The slope of a line is determined by the change in y over the change in x. If the line is graphed, identify two points on the line and use the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ to calculate the slope.<br />2. Determine the Equation of the Line<br /> Use the slope-intercept form of a line, $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Substitute the slope from Step 1 and a point on the line to solve for $b$.<br />3. Write the Equation<br /> With the slope and y-intercept determined, write the equation in the form $y = mx + b$.
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