The equation of line c is y = -7x + 10. Line d is perpendicular to line c and passes through (7,4). What is the equation of line d? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers. ______

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The equation of line c is y = -7x + 10. Line d is perpendicular to line c and passes through (7,4). What is the equation of line d? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.   ______

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Determine slope of line c: Determine the slope of line c. The equation of line c is given as y = -7x + 10. The slope (m) of a line in the slope-intercept form y = mx + b is the coefficient of x. Therefore, the slope of line c is -7.Find slope of line d: Find the slope of line d. Since line d is perpendicular to line c, its slope will be the negative reciprocal of the slope of line c. The negative reciprocal of -7 is 1/7. Therefore, the slope of line d is 1/7.Use point-slope form: Use the point-slope form to find the equation of line d. We have the slope of line d (1/7) and a point through which it passes (7,4). The point-slope form of a line is (y - y1) = m(x - x1), where m is the slope and (x1, y1) is the point on the line. Plugging in the values, we get (y - 4) = 1/7(x - 7).Simplify to slope-intercept form: Simplify the equation to slope-intercept form. To get the slope-intercept form y = mx + b, we distribute the slope on the right side of the equation and then isolate y: y - 4 = 1/7 * x - 1/7 * 7 y - 4 = 1/7 * x - 1 y = 1/7 * x - 1 + 4 y = 1/7 * x + 3Verify the equation: Verify the equation. The equation y = 1/7 * x + 3 is in slope-intercept form, with a slope of 1/7 and a y-intercept of 3. This line is perpendicular to line c, which has a slope of -7, and passes through the point (7,4), as required.

The equation of line $c$ is $y = -7x + 10$ . Line $d$ is perpendicular to line $c$ and passes through $(7,4)$ . What is the equation of line $d$ ? $\newline$ Write the equation in slope-intercept form.

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The equation of line ccc is y=−7x+10y = -7x + 10y=−7x+10. Line ddd is perpendicular to line ccc and passes through (7,4)(7,4)(7,4). What is the equation of line ddd?\newlineWrite the equation in slope-intercept form.

The equation of line $c$ is $y = -7x + 10$ . Line $d$ is perpendicular to line $c$ and passes through $(7,4)$ . What is the equation of line $d$ ? $\newline$ Write the equation in slope-intercept form.